fat % of chocolate

Question

The Chocolate Factory makes a dark chocolate that is 30 percent fat and a white chocolate that is 38% fat how many kilograms of dark chocolate should be mixed with 600 kilograms of white chocolate to make a ripple blend of 35% fat

Answer 1

How about trying this,

 

.30x + .38(600) = .35(x+600)

 

This represents the amount of fat. 30% of an unknown amount plus 38% of 600 is the total amount of fat. That needs to be the same as 35% of the total amount on chocolate, which is x+600. This results in 360 =x.

 

Hope this helped

Answer 2

600(0.38) + 0.3x = .35(600 + x)

 

228 + 0.3x = 210 + .35x

 

18 = 0.05x

 

360 = x

 

360 kg of dark chocolate is needed.