Question

A boutique in Kingwood specializes in leather goods for men. Last month, the company sold 66 wallets and 83 belts, for a total of $4,274. This month, they sold 66 wallets and 86 belts, for a total of $4,376. How much does the boutique charge for each item?

Answer 1

Belt = $34

wallt = $22

Explanation:

The company sold 66 wallets and 83 belts for a total of $4,274 the previous month and sold 66 wallets and 86 belts for a total of $4,376 this month.

Let w represent wallets and b represent belts:

66w + 83b = $4,274

66w + 86b = $4,376

• Subtract the first expression from the second one.

66w + 86b - 66w + 83b = $4,376 - $4,274

• Subtract like terms.

3b = $102

• Divide both sides with 3.

b = $34 this is the price for a belt.

To find the price of a wallet we need to replace b with 34 in the equation:

34×83 + 66w = $4,274

• Multiply.

2,822 + 66w = $4,274

• Subtract 2,822 from both sides to isolate wallets' prices.

66w = $1,452

• Divide both sides with 66.

w = $22