Erin brought 4 jars of jelly and 6 jars of peanut butter for $19.32. ada bought 3 jars of jelly and 5 jars of peanut butter for $15.67. find the cost of a jar of peanut butter

The cost of 1 jar of peanut butter is $ 2.36

Solution:

Let "x" be the cost of 1 jars of jelly

Let "y" be the cost of 1 jar of peanut butter

Erin brought 4 jars of jelly and 6 jars of peanut butter for $19.32

Thus the equation is framed as:

4 jars of jelly x cost of 1 jars of jelly + 6 jars of peanut butter x cost of 1 jar of peanut butter = 19.32

4x + 6y = 19.32 --------- eqn 1

Ada bought 3 jars of jelly and 5 jars of peanut butter for $15.6

3 jars of jelly x cost of 1 jars of jelly + 5 jars of peanut butter x cost of 1 jar of peanut butter = 15.67

3x + 5y = 15.67 ---------- eqn 2

Let us solve the eqn 1 and eqn 2

Multiply eqn 1 by 3

12x + 18y = 57.96 -------- eqn 3

Multiply eqn 2 by 4

12x + 20y = 62.68 ----------- eqn 4

Subtract eqn 3 from eqn 4

12x + 20y = 62.68

12x + 18y = 57.96

( - ) ----------------------------

2y = 4.72

Thus cost of 1 jar of peanut butter is $ 2.36

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step-by-step explanation: