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A dormitory manager buys 38 bed sheets and 61 towels for $791.50. The manager get another 54 bed sheets and 50 towels for $923 from the same store. What is the cost of one bed sheet and one towel?

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Iknowit
the answer is on the paper
Ver imagen Iknowit
[tex] \left \{ {{38x + 61y =791.5} \atop {54x + 50y = 923}} \right. [/tex]
[tex] \left \{ {{54x + 91.5y = 1187.25} \atop {54x + 50y = 923}} \right. [/tex]
[tex]41.5 y = 264.25
[tex]y = 6.39[/tex]
[tex]54x + 50(6.39) = 923 [/tex]
[tex]54x = 603.5[/tex]
[tex]x = 11.18[/tex]
The cost of a bed sheet is $11.18 and the cost of a paper towel is $6.39

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