Problema Solution

A landscaping company needs 160 gallons of 19% fertilizer to fertilize the shrubs in an office park. They in stock 25% fertilizer and 15% fertilizer. How much of each type should they mix together?

Answer provided by our tutors

Let 'x' represent the amount of 25% fertilizer, then '160-x' represents the amount of 15% fertilizer. 

25% represents 0.25 as a decimal

15% represents 0.15 as a decimal

19% represents 0.19 as a decimal

We solve the following equation which equates the total amount of 19% to the sum of the 15% and 25% amount:

160*0.19=0.25x+0.15(160-x)

click here to solve for x

x=64

160-64=96

So 64 gallons of 25% fertilizer should be mixed with 96 gallons of 15% fertilizer in order to make 160 gallons of 19% fertilizer.