HiSET - Proportional relationships

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

Explanation

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks} = \frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$\frac{84}{3} = x$

$x = 28\ ounces$

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?

Explanation

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.