# 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 result:

m =  30 kg

#### Solution:

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 = 30

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