Question

Zer - 25$ Soil- 6.25 Jamie is starting a garden. She buys 3 bags of potting soil and 4 bags of fertilizer. In all she spent 125$. After she used all of the soil and fertilizer, she realized that it wasn't enough for her garden. She goes back to the store and buys 4 more bags of potting soil and 2 more bags of fertilizer. She spent 75$ F represents fertilizer S represents soil 3s + 4f = 125 4s + 2f = 75

Answer 1

The price of fertilizer is $27.5 and potting soil is $5

Explanation:

I think that you are asking for the price of each bag of fertilizer and potting soil. And here is my answer:

Given the system of linear:

3s + 4f = 125 <=> f = 31.25 -3/4s (1)

4s + 2f = 75 <=> f = 37.5 -2s (2)

Take (1) -(2) we have:

f -f = 31.25 -3/4s - (37.5 -2s)

<=> 0 = -6.25 + 1.25s

<=> 1.25s = 6.25

<=> s = 5

=> f = 37.5 -2(5) = 27.5

So the price of fertilizer is $27.5 and potting soil is $5