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?

27h + 48b = 540
50h + 24b = 416....multiply by -2
--------------------
27h + 48b = 540
-100h - 48b = - 832 (result of multiplying by -2)
-------------------add
-73h = - 292
h = -292 / -73
h = 4 <=== hand towels cost $ 4

27h + 48b = 540
27(4) + 48b = 540
108 + 48b = 540
48b = 540 - 108
48b = 432
b = 432/48
b = 9 <== bath towels cost $ 9

so one hand towel and one bath towel will cost u : (4 + 9) = $ 13.....thats if u want them added together...if not, then hand towels cost $ 4 and bath towels cost $ 9