Question

Please help.

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. A boutique in Millersburg specializes in leather goods for men. Last month, the company sold 77 wallets and 41 belts, for a total of $6,913. This month, they sold 59 wallets and 43 belts, for a total of $5,575. How much does the boutique charge for each item? The boutique charges $ for a wallet, and $ for a belt.

Answer 1

Explanation:

Use any variable you like:

• W = cost of wallets
• B = cost of belts sold

You know that 77 wallets and 41 belts sold for $6913, thus an equation would be: 77W + 41B = 6913

You also know that when 59 wallets and 43 belts are sold, the equation would be: 59W + 43B = 5575

To summarize, your system of equations would be:

• 77W + 41B = 6913
• 59W + 43B = 5575

You can either use substitution or elimination to solve this problem

Using the substitution method:

77W + 41B = 6913

W = (6913 -41B)/77 --> Use this to plug into your other equation for W

59(6913-41B)/77 + 43B = 5575

If you simplify using normal algebraic techniques, you should receive W=77, B=24