Dried fruit

The manufacturer produces a mixture of dried fruit. He purchased:

10kg pineapple for 200 Kc/kg
2kg papaya for 180 kc/kg
1kg of banana for 400 Kc/kg

How many kgs of raisin for 80 Kc/kg must be put into the mix by the manufacturer so that the production price of the mixture is 120 Kc/kg?

Correct answer:

m =  30 kg

Step-by-step explanation:

120 = (10·200+2·180+1·400+m·80)/(10+2+1+m)

(10+2+1+m) · ( 120 ) = (10+2+1+m) · ( (10·200+2·180+1·400+m·80)/(10+2+1+m) )

40m = 1200


m = 1200/40 = 30

m = 30

Our simple equation calculator calculates it.

Try another example