Multi-step real-world and mathematical problems - HiSet: High School Equivalency Test: Math
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An electronics store is having a sale and offering 
off the regular prices of all laptop computers. If the sale price for a certain laptop is 
, what is the regular price of the laptop?
An electronics store is having a sale and offering 
Notice that 
is the price after the 
discount. Therefore, the sale price of 
is 
of the regular price (or 
times the regular price). The regular price can be represented as 
, or 
times the regular price.
First, set up a proportion describing the problem, using 
to represent the unknown quantity, the regular price:
Next, cross multiply:
Finally, divide both sides by 
to solve for 
:
Therefore, the regular price is 
.
Notice that 
First, set up a proportion describing the problem, using 
Next, cross multiply:
Finally, divide both sides by 
Therefore, the regular price is 
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3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.
3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.
Set up a proportional relationship, using 
to represent the unknown quantity (the weight of 7 sticks of butter):
Cross multiply:
Finally, divide both sides to solve for 
:
Set up a proportional relationship, using 
Cross multiply:
Finally, divide both sides to solve for 
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If 
is inversely related to 
and 
and 
is directly related to 
, which formula describes the relationship between 
and 
?
If
To say that 
is inversely related to 
is to say 
.
To say that 
is directly related to 
is to say 
.
Thus, to say 
is inversely related to 
and 
and 
is directly related to 
is to say
To say that
To say that
Thus, to say
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