How to find a ratio - SSAT Elementary Level Quantitative (Math)

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Question

If there are 6 girls in a class and 12 boys in a class, what is the ratio of girls to boys in the class, in simplest form?

Answer

To find a ratio, divide the two numbers given until they are reduced to their lowest common factor, then put them into a ratio with a colon in between. Remember to order them in the way the question is asked!

6 (girls) and 12 (boys) can both be divided by 6:

For every girl, there are 2 boys in the class. Therefore, the ratio is .

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Question

Simplify the ratio: 400 students to 25 teachers

Answer

A ratio can be simplified by dividing both numbers by their greatest common factor. Since 400 is divisible by 25, the GCF is 25.

The ratio, simplified, is .

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Question

Which ratio is "20 to 60" written in simplest form?

Answer

  1. Divide both terms of the ratio by the greatest common factor. In this case, the greatest common factor is 20, because 20 is the largest number that goes into both numbers evenly.

  1. Show the ratio with a colon (:). Remember to keep the numbers in the correct order!

Therefore, 20 to 60 is equivalent to 1 : 3.

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Question

Determine the ratio of 12 to 48 in simplest form.

Answer

  1. Divide both terms of the ratio by the greatest common factor. In this case, the greatest common factor is 12, because 12 is the greatest number that goes into both numbers evenly.

  1. Show the ratio with a colon (:), and remember to keep the numbers in the correct order.

Therefore, the ratio of 12 to 48 is .

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Question

Determine the ratio of to .

Answer

Ratios represent how one number is related to another. These steps will help you determine the ratio of the numbers shown:

) Divide both terms of the ratio by the GCF (greatest common factor). In this case, the GCF is because is the greatest number that goes into both numbers evenly.

) Show the ratio with a colon : and remember to keep the numbers in the same order!

Therefore, the ratio of to is .

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Question

Determine the ratio of 6 to 36.

Answer

Ratios represent how one number is related to another. These steps will help you determine the ratio of the numbers shown:

  1. Divide both terms of the ratio by the GCF (greatest common factor). In this case, the GCF is 6 because 6 is the greatest number that goes into both numbers evenly.

  1. Show the ratio with a colon : and remember to keep the numbers in the same order!

Therefore, the ratio of 6 to 36 is .

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Question

Determine the ratio of 12 to 32.

Answer

Ratios represent how one number is related to another. These steps will help you determine the ratio of the numbers shown:

  1. Divide both terms of the ratio by the GCF (greatest common factor). In this case, the GCF is 4 because 4 is the greatest number that goes into both numbers evenly.

  1. Show the ratio with a colon : and remember to keep the numbers in the same order!

Therefore, the ratio of 12 to 32 is .

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Question

Riley gives Maddie marbles, then gives Carl marbles. He repeats this process several times.

At the end of this process, Maddie has marbles. How many marbles does Carl have?

Answer

Divide the number of marbles Maddie has by the number she received per turn to find the number of times the process occurred.

, so the process occurred times.

Set up a ratio of the number of marbles given to Maddie to the number of marbles given to Carl on each turn. This ratio would be .

We can find the number of marbles Carl has by multiplying the number of times the process occurred by the number of marbles he received each turn.

marbles.

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Question

A car with a tank that holds gallons of gas gets miles to the gallon. If the car's gas gauge reads that the tank is three-fourths full, how many miles can it travel before it needs to be refueled?

Answer

Multiply miles per gallon by gallons to get the distance the car can travel on a full tank:

miles.

Multiply this by three-fourths to get the distance it can travel on three-fourths of a tank.

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Question

On Monday, Annie sold shirts and necklaces in her shop. On Tuesday, she sold shirts and necklace. What is the ratio of shirts to necklaces that she sold on Monday and Tuesday?

Answer

First we need to find the total number of each item sold on the two days.

Next, set up a ratio.

The ratio can be reduced by removing a common factor, 2.

Our final answer is .

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Question

Which of the following is in a simplified form?

Answer

In order to reduce to its simpler form, the key is to divide each side by the same number. Dividing each side by 4 gives us a reduced ratio of , which is the correct answer.

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Question

What is the simplest form of the ratio to ?

Answer

The ratio of to can be reduced by dividing each value by .

This gives us to , or , which is the correct answer.

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Question

If I have 6 red marbles and 5 blue marbles, what is the ratio of red marbles to blue marbles?

Answer

To find a ratio, simply compare the desired ones to the undesired ones. Read the ":" sign as "to".

The desired ones are the red marbles while the undesired ones are the blue marbles.

Thus,

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Question

I have 7 green marbles and 4 blue marbles in a bag. Find the ratio of blue marbles to green marbles.

Answer

To find a ratio, simply compare the number of desired to the number of undesired. Thus, I am comparing the number of blue to green. ":" means to. Therefore, our answer is:

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Question

Simplify the following ratio:

Answer

In order to simplify the ratio, you need to find the greatest common factor of the two numbers. The greatest common factor of is . If you reduce both numbers by then it would be .

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