ratios and percentage question

Question

A candy distributor needs to mix a 20% fat-content chocolate with a 60% fat-content chocolate to create 200 kilograms of a 34% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answer 1

60-34=26

34-20=14

a ratio of 26/14=13/7=130/70

13/7= x/(200-x)

7x=2600-13x

20x=2600

x=130 kg of 20%

mixed with 70 kg of 60%

yields 200 kg of 34%

.20(130)+.60(70)=26+42=68

=.38(200)=68