Question

The owner of two hotels is ordering towels. He bought 20 hand towels and 76 bath towels for his hotel in Hillsdale, spending a total of $764. He also ordered 75 hand towels and 35 bath towels for his hotel in Lanberry, spending $615. How much does each towel cost? A hand towel costs $ , and a bath towel costs $​

Answer 1

hand towel = $4

bath towel = $9

Explanation:

hotel 1: 20h +76b = $764

hotel 2: 75h + 35b = $615 ----> b = (615 - 75h)/35

plug equation of hotel 2 into equation of hotel 1

20h + 76[ (615 - 75h)/35]

solve to get h =$4

then plug that number into b = (615 - 75h)/35

b = (615 - 75x4)/35

b = 9