# A sales associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47 in commission for selling 3 suits and a pair of shoes. The next week, she earned$107 in commission for selling 7 suits and 2 pairs of shoes. How much commission does she earn for selling each suit and each pair of shoes? Solve by substitution.

2 months ago

## Solution 1

Guest #8639
2 months ago
Let h shoes and s suit:

3s+h=47

7s+2h=107

substitution property:

3s=47-h

s=(47-h)/3

plug it into the other equation and solve for h:

7((47-h)/3)+2h=107

distribute 7 and multiply 3 on both sides:

329-7h+6h = 321

329-h=321

-h=-8

h=8 pair of shoes

s=(47-8)/3=13 suits

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To get the amount of paper required to cover the box, we find the area of the box. The dimensions of the box are as follows:length=21/2 ftwidth=11/2 ftheight=4 ftArea of the box is given by the formula:SA=2lw+2lh+2hwSA=2(21/2×11/2)+2(21/2×4)+2(11/2×4)SA=2(231/4)+2(42)+2(11/2×4)SA=115.5+84+44SA=243.5 ft²Stella will need 243.5 ft²

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