Percentage question is in the description! Thanks!

Question

A candy distributor needs to mix a 10% fat-content chocolate with a 50% fat-content chocolate to creat 100 kilograms of a 22% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answer 1

Set the problem up as follows:

 

The total amount will be 100 kg. Let x be the kg of 50% chocolate, and 100-x be the amount of 10% chocolate. The problem can either be done with the fat-content as per cents, or as the decimal fractions; you get the same answer either way.

 

so,

50 (x) + 10 (100-x) = 22 (100)

 

50x + 1000 - 10x = 2200     (Subtract 1000 from both sides)

 

50x -10x = 2200 - 1000

 

40x = 1200      (divide both sides by 40)

 

x = 30 kg of 50% fat chocolate

100-x = 70 kg of 10% fat chocolate