Problema Solution

Dried banana's sell for $0.80 per quarter-pound and dried apricots sell for $1.00 per quarter-pound. How many pounds of apricots should be mixed with 3 pounds of banana's to get a mixture that sells for $0.95 per quarter-pound?

Answer provided by our tutors

let a = quarter-pounds of apricots

and b = quarter-pounds of bananas

we known that b = 3 * 4 = 12 quarter-pounds


(0.80*12 + 1.*a)/(12+a)=0.95

9.6+1.a=11.4+.95a

.05a=1.8

a = 36.


So 36 quarter-pounds of apricots are needed

36/4=9 pounds of apricots