Respuesta :
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
[tex]4 \times x + 6 \times y = 19.32[/tex]
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
[tex]3 \times x + 5 \times y = 15.67[/tex]
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
y = 2.36
Thus cost of 1 jar of peanut butter is $ 2.36
