math question I cant get the same answer

Question

A candy distributor needs to mix a 10% fat-content chocolate with a 30% fat-content chocolate to create 150 kilograms of a 16.7% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Write an equation that uses the information as it is given above that can be used to solve this problem. Use  as your variable to represent the quantity of 10% fat-content chocolate.

Formula:_______________________

They must mix:

________________ Kilograms of the 10% chocolate and

________________Kilograms of the 30% chocolate.

Answer 1

.1X + .3Y = .167(150)

X+Y = 150

X=150-Y

.1(150-Y) +.3Y = 25.05

.2Y = 25.05-15 = 10.05

Y = 50.25 of 30%

X= 150-50.25 = 99.75 of 10%