Word prolem

Question

A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 55% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
A) Write an equation that uses the information as it is given above that can be used to solve this problem. Use x as your variable to represent the quantity of 10% fat-content chocolate.

Answer 1

Let x = quantity of 10% fat-content chocolate in kilograms

Let y = quantity of 60% fat-content chocolate in kilograms 

 

The two must add up to 100 kilograms of chocolate.

The fat content of the two must add up to 55 kilograms

 

x + y = 100

.10x + .60y = 55

 

Multiply the second equation by 10:

 

x + y = 100

x + 6y = 550

 

-5y = -450

 

y = 90

x = 10