Problema Solution
williams' Custom Flooring has 0.5 gal of stain that is 20% brown and 80% neutral. A customer orders 1.5 gal of a stain that is 60 % brown and 40 % neutral. How much pure brown stain and how much neutral stain should be added to the original 0.5 gal in order to make up the order?
Answer provided by our tutors
0.5 gal of stain that is 20% brown and 80% neutral that is:
0.2*0.5 = 0.1 gal brown
0.8*0.5 = 0.4 gal neutral
the ordered: 1.5 gal of stain should have 60% brown and 40% neutral that is
0.6*1.5 = 0.9 gal brown
0.4*1.5 = 0.6 gal neutral
This means that we should add
0.9 - 0.1 = 0.8 gal brown
0.6 - 0.4 = 0.2 gal neutral
the the original 0.5 gal in order to make up the order.