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16 July, 04:22

Mr. Miller owns two hotels and is ordering towels for the rooms. He ordered 27 hand towels and 48 bath towels for a bill of $540 for the first hotel. He ordered 50 hand towels and 24 bath towels for a bill of $416 for the other hotel.

What is the cost of one hand towel and one bath towel?

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  1. 16 July, 04:25
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    H=$hand towel, B=$bath towel.

    27H+48B=540, 50H+24B=416, so 100H+48B=832;

    100H+540-27H=832; 73H=832-540=292, H=292/73=$4.

    48B=540-27*4=540-108=432, B=432/48=$9.

    Hand towels are $4 each, and bath towels are $9 each.
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