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