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