SOLUTION: A soil supplement that weights 24 Lb contains iron, pottasium and a mulch. There is five times as much mulch as iron and twice as much pottasium as iron. Find the amount of mulch i

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A soil supplement that weights 24 Lb contains iron, pottasium and a mulch. There is five times as much mulch as iron and twice as much pottasium as iron. Find the amount of mulch i      Log On

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Question 29788: A soil supplement that weights 24 Lb contains iron, pottasium and a mulch. There is five times as much mulch as iron and twice as much pottasium as iron. Find the amount of mulch in th soil supplement.
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
Iron + potassium + mulch = suppliment
I + P + M = S
S = 24
5M = I
2P = I or P = I/2
Substitute
I + P + M = S
5M + I/2 + M = 24 (substitute once more where I is)
5M + 5M/2 + M = 24
now combine like terms and solve for M.
+5M+%2B+5M%2F2+%2B+M+=+24+ common denom
+10M%2F2+%2B+5M%2F2+%2B+2M%2F2+=+48%2F2+ drop the denom
+10M+%2B+5M+%2B+2M+=+48+ combine like terms
+15M+%2B+2M+=+48+
+17M+=+48+ divide by 17
+M+=+48%2F17+