Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The owner of two hotels is ordering towels. He bought 93 hand towels and 25 bath towels for his hotel in Weston, spending a total of $461. He also ordered 22 hand towels and 36 bath towels for his hotel in Rockport, spending $440. How much does each towel cost?

A hand towel costs $
A bath towel costs $

Answer 1

To solve this problem, we can set up a system of equations to represent the situation. We can then solve the system to find the cost of each towel.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's assume that a hand towel costs $A and a bath towel costs $B.

For the hotel in Weston, the owner bought 93 hand towels and 25 bath towels, spending a total of $461. We can write the equation:

93A + 25B = 461

For the hotel in Rockport, the owner ordered 22 hand towels and 36 bath towels, spending $440. We can write the equation:

22A + 36B = 440

Now, we can solve this system of equations using any method, such as substitution or elimination. Solving for A and B will give us the cost of each towel.