18 = 12C + 13S

Question

A batch of hard candy needs C gallons of corn syrup and S gallons of sucrose to create 18 pounds of sweetener. What is the increase in the amount of corn syrup in gallons if the amount of sucrose decreases by 1 gallon?

Answer 1

The ratio of corn to sucrose is 12/13.

12 : 13 :: x : 13 + 1  prorportion

12 : 13 :: x : 14

13x = (12)(14)

 

Can you solve for x and answer?