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A boutique in Lanberry specializes in leather goods for men. Last month, the company sold 56 wallets and 63 belts, for a total of $3,920. This month, they sold 94 wallets and 22 belts, for a total of $3,230. How much does the boutique charge for each item?

User Max Imax
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1 Answer

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Let w represent the cost of each wallet.

Let b represent the cost of each belt.

Last month, the company sold 56 wallets and 63 belts, for a total of $3,920. This means that

56w + 63b = 3920

This month, they sold 94 wallets and 22 belts, for a total of $3,230. This means that

94w + 22b = 3230

We would solve the equations by applying the method of elimination. To eliminate w, we would multiply the first equation by 94 and the second equation by 56. The new equations would be

5264w + 5922b = 368480

5264w + 1232b = 180880

Subtracting the second equation from the first, we have

5264w - 5264w + 5922b - 1232b = 368480 - 180880

4690b = 187600

b = 187600/4690

b = 40

Substituting b = 40 into 56w + 63b = 3920, we have

56w + 63(40) = 3920

56w + 2520 = 3920

56w = 3920 - 2520 = 1400

w = 1400/56

w = 25

Thus, the boutique charges $25 for each wallet and $40 for each belt

User Alok Singhal
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