Solve Two-Step Word Problems Using the Four Operations: CCSS.Math.Content.3.OA.D.8 - Common Core: 3rd Grade Math

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Question

In Spot’s toy basket he has balls. There are more stuffed animals than balls and there is double the number of ropes than balls. How many toys does Spot have in his basket?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of ropes and stuffed animals that Spot has. We can set up equations for these unknowns by letting represent ropes and represent stuffed animals.

because he has more stuffed animals than his balls.

because double means times more.

Now we need to add up our number of balls, stuffed animals and ropes to find our total.

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Question

In Spot’s toy basket he has balls. There are more stuffed animals than balls and there is five times the number of ropes than balls. How many toys does Spot have in his basket?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of ropes and stuffed animals that Spot has. We can set up equations for these unknowns by letting represent ropes and represent stuffed animals.

because he has more stuffed animals than his balls.

because he has five times as many ropes as his balls.

Now we need to add up our number of balls, stuffed animals and ropes to find our total.

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Question

Jessica has been collecting beads all summer. She started with beads and by the end of the summer she was able to add more beads to her collection. On the first day of school she wants to evenly split the beads up amongst her friends. How many beads will each friend get?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of beads she will have by the end of the summer and the number of beads each of her friends will receive. We can set up equations for these unknowns by letting represent the beads that she has at the end of the summer and represent the number of beads each of her friends will receive.

because she gets more beads by the end of the summer.

because she is splitting up her total amount of beads between friends. When you split something up evenly you divide.

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Question

Emily has been collecting beads all summer. She started with beads and by the end of the summer she was able to add more beads to her collection. On the first day of school she wants to evenly split the beads up amongst her friends. How many beads will each friend get?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of beads she will have by the end of the summer and the number of beads each of her friends will receive. We can set up equations for these unknowns by letting represent the beads that she has at the end of the summer and represent the number of beads each of her friends will receive.

because she gets more beads by the end of the summer.

because she is splitting up her total amount of beads between friends. When you split something up evenly you divide.

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Question

Sara is hanging up flyers around her school. She started with flyers. She hung flyers around the east side of the building, but she hung half as many flyers on the west side of the building. How many flyers does she have left?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of flyers that she hung on the west side of the building and the number of flyers she has left over. We can set up equations for these unknowns by letting represent the flyers she hung on the west side and represent the flyers that she has left.

because she hung half as many flyers on the west side as she hung on the east side. When we half something we always divide by .

To find the total number of flyers that she hung we add the amount of flyers on the east side and the amount on the west side.

To find how many flyers she has left, we subtract that total flyers that were hung from the flyers that she started with.

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Question

Ali is hanging up flyers around her school. She started with flyers. She hung flyers around the east side of the building, but she hung half as many flyers on the west side of the building. How many flyers does she have left?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of flyers that she hung on the west side of the building and the number of flyers she has left over. We can set up equations for these unknowns by letting represent the flyers she hung on the west side and represent the flyers that she has left.

because she hung half as many flyers on the west side as she hung on the east side. When we half something we always divide by .

To find the total number of flyers that she hung we add the amount of flyers on the east side and the amount on the west side.

To find how many flyers she has left, we subtract that total flyers that were hung from the flyers that she started with.

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Question

Charlie swims laps in the pool every day during the week before school. On Monday and Tuesday he swims laps each day. On Wednesday and Thursday he triples the number of laps he swims. By Friday, he does less laps than he does on Monday. How many total laps does he swim during the week?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of laps he swims on Wednesday and Thursday and the number of laps he swims on Friday. We can set up equations for these unknowns by letting represent the laps that he swims on Wednesday and Thursday and represent the number of laps he swims on Friday.

because when we triple something we multiply by .

because he is swimming less laps than he did on Monday, which means we subtract.

To find the total amount of laps that he swam, we need to add up the laps that he did each day.

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Question

Tim swims laps in the pool every day during the week before school. On Monday and Tuesday he swims laps each day. On Wednesday and Thursday he doubles the number of laps he swims. On Friday, he swims fewer laps than he swam on Monday. How many total laps does he swim during the week?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of laps he swims on Wednesday and Thursday and the number of laps he swims on Friday. We can set up equations for these unknowns by letting represent the laps that he swims on Wednesday and Thursday and represent the number of laps he swims on Friday.

because when we double something we multiply by .

because he is swimming less laps than he did on Monday, which means we subtract.

To find the total amount of laps that he swam, we need to add up the laps that he did each day.

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Question

Justin loves to run and is training for a marathon at the end of the month. His training program has him running miles three times during the week, and miles on a weekend day. How many miles does he run in a week?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of miles he runs during the week and the total miles that he runs. We can set up equations for these unknowns by letting represent the miles that he runs during the weekdays and represent the total miles that he runs in week.

because he is running miles times.

because to find the total we need to add the miles he runs during the week and on the weekend.

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Question

Jason loves to run and is training for a marathon at the end of the month. His training program has him running miles three times a week, and miles one time a week. How many miles does he run in a week?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number of miles he runs during the week and the total miles that he runs. We can set up equations for these unknowns by letting represent the miles that he runs during the weekdays and represent the total miles that he runs in week.

because he is running miles times.

because to find the total we need to add the miles he runs during the week and on the weekend.

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Question

Hannah is making a red fruit salad because red is her favorite color. She cuts up pieces of watermelon and puts it in a bowl. Because she really loves strawberries, she wants times as many pieces of strawberries as pieces of watermelon. Then she adds half as many raspberries as strawberries. How many pieces of fruit are in her fruit salad?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number strawberries and raspberries she puts in the fruit salad. We can set up equations for these unknowns by letting represent strawberries and represent raspberries.

because she has times as many strawberries than watermelon.

because when we half something we always divide by

Now we need to add the watermelon, strawberries, and raspberries together to find our total.

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Question

Hannah is making a red fruit salad because red is her favorite color. She cuts up pieces of watermelon and puts it in a bowl. Because she really loves strawberries, she wants times as many pieces of strawberries as pieces of watermelon. Then she adds half as many raspberries as strawberries. How many pieces of fruit are in her fruit salad?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are the number strawberries and raspberries she puts in the fruit salad. We can set up equations for these unknowns by letting represent strawberries and represent raspberries.

because she has times as many strawberries than watermelon.

because when we half something we always divide by

Now we need to add the watermelon, strawberries, and raspberries together to find our total.

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Question

There were families of meerkats that lived in the same burrows. Each family had meerkats. meerkats went out to find food, how many are left in the burrows?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are how many meerkats there are total (T) and how many meerkats are left in the burrow (L).

because there are families of meerkats and each of them has members of the family. Each is a keyword for multiplication so that gives us a hint.

because there are meerkats total in the burrows and meerkats are subtracted because they left the burrow.

There are meerkats left in the burrows.

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Question

Patrick got baseball trading cards for his birthday from his best friend. The next day he received more cards from his uncle. He decided to share them equally between himself and his two brothers. How many cards will each child receive?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are how many baseball cards Patrick received in total (T) and how many cards each child will receive (C).

because he received cards from his friend and then another from his uncle. The cards would be added together to find the total.

÷ because there are cards total and they are being shared equally among Patrick AND his two brothers so there are children total. "Shared equally" is a keyword for division.

Each child will receive cards in total.

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Question

In Denver, it snowed 5 inches on Monday, 6 inches on Tuesday, 3 inches on Thursday, and 1 inch on Friday. On Saturday, it snowed three times as much as the rest of the week. How much did it snow on Saturday?

Answer

To solve this problem, we first have to find our unknowns. Our unknowns are how much did it snow during the weekdays (W) and how much did it snow on Saturday (S).

because we need to know how much it snowed during the weekdays in total. We must add together the amount of snow from Monday, Tuesday, Thursday, and Friday.

because it snowed times as much on Saturday as it did the rest of the week. The total snow from the weekdays will be multiplied by to find out how much it snowed on Saturday.

On Saturday it snowed a total of inches.

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