Problema Solution
The owner of two hotels is ordering towels. He bought 59 hand towels and 25 bath towels for his hotel in Bradford, spending a total of $570. He also ordered 49 hand towels and 32 bath towels for his hotel in Olean, spending $597. How much does each towel cost?
A hand towel costs $_______, and a bath towel costs $_________
Answer provided by our tutors
Let
h = the cost per hand towel
b = the cost per bath towel
59 hand towels and 25 bath cost total of $570:
59h + 25b = 570
49 hand towels and 32 bath towels cost total of $597:
49h + 32b = 597
We have the following system of equations:
59h + 25b = 570
49h + 32b = 597
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click here to see the system of equations solved for h and b
........
h = $5
b = $11
A hand towel costs $5, and a bath towel costs $11.