We need 8.25 pounds of candy at $0.88
We need 0.75 pound of candy at $1.36
More Systems of Equations this one is well suited for Substitution
Let x = candy at 0.88
Let y = candy at 1.36
Equation 1 will represent total pounds
x + y = 9
Equation 2 will represent total cost
0.88x + 1.36y = 9(0.92) = 8.28
Equation 1 can easily set up for a direct substitution
y = 9 -x
We will use this substitution in Equation 2
0.88x + 1.36(9 - x) = 8.28
0.88x + 12.24 - 1.36x = 8.28
Combine like terms
-0.48x + 12.24 = 8.28
Subtract 12.24 from both sides
-0.48x = -3.96
Divide both sides by -0.48
x = -3.96/-0.48
x = 8.25
We can substitute our value for x in either equation to solve for y and since we already know
y = 9 - x
y = 9 - 8.25 = 0.75
Now we can check by substituting in our total cost equation 2
0.88x + 1.36y = 9(0.92) = 8.28
0.88(8.25) + 1.36(.75) = 8.28
7.26 + 1.02 = 8.28
8.28 = 8.28
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