Andrew M. answered • 03/11/18

Tutor

New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

The total amount of the two types being mixed must add to 50 gallons.

So if we use

**x gallons of 18% fertilizer**We then add to that

**(50-x) gallons of 30% fertilizer**Look at the concentrations of actual fertilizer.

We have 0.18x gallons of actual fertilizer, added to 0.3(50-x) gallons of

actual fertilizer.. summing to 50 gallons of 27% fertilizer which is 0.27(50)

Your equation is:

**0.18x + 0.3(50-x) = 0.27(50)**

Multiply through by 100 to clear the decimals

18x + 30(50-x) = 27(50)

18x + 1500 - 30x = 1350

**-12x + 1500 = 1350**

If you finish solving for x from this point that is the number of gallons

of 18% fertilizer solution.

Then use 50-x to find the number of gallons of 30% fertilizer solution.