Gavin is a shoe salesman on commission. Yesterday, he sold 4 pairs of shoes and 9 pairs of boots, earning $181. Today, he sold 1 pair of shoes and 6 pairs of boots, earning $109. What is Gavin's commission for each type of footwear?

A. Shoes: $25, Boots: $14
B. Shoes: $27, Boots: $11
C. Shoes: $29, Boots: $12
D. Shoes: $31, Boots: $13

Question

High School

Answer :

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AlistairFraser AlistairFraser · Answer 1 · 2024-05-15T00:04:57-04:00

Gavin's commission for each type of footwear is Shoes: $7 and Boots: $17.

To find Gavin's commission for each type of footwear, we can set up a system of equations.

Let's assume the commission for selling each pair of shoes is 'x' dollars, and the commission for selling each pair of boots is 'y' dollars.

From the given information, we can write two equations:

4x + 9y = 181

x + 6y = 109

Multiplying the second equation by 4, we get:

4x + 24y = 436

Now, subtract the first equation from the second equation:

(4x + 24y) - (4x + 9y) = 436 - 181

15y = 255

y = 17

Substituting the value of y in the second equation:

x + 6(17) = 109

x + 102 = 109

x = 7

Therefore, Gavin's commission for each type of footwear is Shoes: $7 and Boots: $17.