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 6 hand towels and 27 bath towels for his hotel in Campbell, spending a total of $255. He also ordered 50 hand towels and 27 bath towels for his hotel in Lowell, spending $343. How much does each towel cost?

A hand towel costs $ ----------, and a bath towel costs $ --------.

Answer 1

A handtowel costs $2.00 and a bathtowel is $9.00

Explanation:

Let h equal the cost of a handtowel. And let b equal the cost of a bathtowel.

In Campbell, they spent:

255 = 6h + 27b

In Lowell, they spent:

343 = 50h + 27b

Solve the system.

see image.