Browse · MATH
Printjmc
prealgebra senior
Problem
Brand X soda advertises, ``We will give you 20 more soda than Brand Y for a total price that is 10 less than Brand Y's price!'' What is the ratio of the unit price of Brand X soda to the unit price of Brand Y soda? Express your answer as a common fraction.
Solution
Let be the volume of soda in Brand Y, and let be the price of Brand Y soda. Thus, the volume of soda in Brand X is , and the price of Brand X soda is .
It follows that the unit price of Brand X soda is , and the unit price of Brand Y soda is . The ratio of these unit prices is:
It follows that the unit price of Brand X soda is , and the unit price of Brand Y soda is . The ratio of these unit prices is:
Final answer
\frac{3}{4}