Question 1147783
Lbs. of $4.10 candy = a
Lbs. of $8.70 candy = b
<pr>
Make two equations:
<pr>
a + b = 32.2
4.10a + 8.70b = 4.50(32.2)
<pr>
Simplify second equation:
<pr>
a + b = 32.2
4.10a + 8.70b = 144.9
<pr>
Multiply the first equation by -8.70:
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-8.70a - 8.70b = -280.14
4.10a + 8.70b = 144.9
<pr>
Add both equations together and solve for a:
<pr>
-4.60a = -135.24
<pr>
a = 29.4
<pr>
Plug a = 29.4 into the original first equation and solve for b:
<pr>
a + b = 32.2
<pr>
29.4 + b = 32.2
<pr>
b = 2.8
<pr>
Lbs. of $4.10 candy = a = <b>29.4</b>
Lbs. of $8.70 candy = b = <b>2.8</b>