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?

Question

13-06-2016
Mathematics

contestada

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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Аноним Аноним · Answer 1 · 2016-06-21T10:38:52+02:00

To answer the question, let x be the cost of a bedsheet and y that of a towel. The first purchase can be expressed as,

38x + 61y = $791.50

and the second as,

54x + 50y = $923

Solving for x and y simultaneously will give, x = $12 and y = $5.5. Thus, each bedsheet costs $12 and each towel cost $5.5.