Problema Solution

A supermarket is selling two types of candy, orange slices and strawberry leaves. The orange slices cost $1.29 per pound and the strawberry leaves cost $1.79 per pound. How many pounds of each should be mixed to get a 12 pound mixture that sells for $17.48? Find the number of pounds of orange slices that are required.

Answer provided by our tutors

let


o = pounds of orange slices needed for the mix

s = pound of strawberry leaves needed for the mix


the mix we need to make is 12 pounds thus


o + s = 12


the 12 pounds mix will sell for $17.48


1.29*o + 1.79*s = 17.48


by solving the system of equations


o + s = 12

1.29*o + 1.79*s = 17.48


we find


o = 8 lbs


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8 pounds of orange slices are required for the mix.