SOLUTION: Ms. Meyer is filling planter boxes with soil. She has soil that is 22% sand, and she buys 6 pounds of a commercial potting soil that is 37% sand. She mixes some of her soil with th

Question 1101221: Ms. Meyer is filling planter boxes with soil. She has soil that is 22% sand, and she buys 6 pounds of a commercial potting soil that is 37% sand. She mixes some of her soil with the 6 ponds of commercial potting soil. The resulting soil mixture is 32% sand. How many pounds of her soil did Ms. Meyer use?
A.6 lb
B.3 lb
C.5 lb
D.9 lb
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We have 6 lbs of 37% mix
We want to add some 22% mix to make 32% mix
0.22*x+0.37*6=0.32(6+x)
0.22*x+2.22=1.92+0.32x
0.22x-0.32x=1.92-2.22
-0.1x=-0.3
x=3 lbs at 22% (0.66) is added to 6 lbs at 37%(2.22) to make 32% of 9 lbs(2.88)
check
0.22*3+0.37*6=0.32(6+3)
0.66+2.22=0.32(9)
2.88=2.88
ok

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