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wolverine
1 month ago
7

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 f

rom the same store. What is the cost of one bed sheet and one towel?
A.) $15 and $10
B.) $13.50 and $7.50
C.) $12 and $5.50
D.) $10.50 and $3

Mathematics
2 answers:
lawyer [12.5K]1 month ago
5 0

Conclusion:

Correct option: C is accurate.

          C.) $12 and $5.50

Stepwise explanation:

Assuming that the price of one bed sheet is: $ x

and that of one towel is:  $ y

Accordingly, the situation states:

  • A dormitory manager procures 38 bed sheets and 61 towels for $791.50.

             Hence, we set up the equation as:

                     38x+61y=791.50

  • The manager later acquires another 54 bed sheets and 50 towels for $923

                              Thus, the equation becomes:

                        54x+50y=923

To find values of x and y, we examine the graphical representation of the equations and determine the intersection point to identify the required values.

Thus, we observe that the two lines converge at (12,5.5)

Finally, the cost of one bed sheet is $ 12

and the cost of one towel is $ 5.50

lawyer [12.5K]1 month ago
4 0
Define x as the price for each bed sheet and y as the price for every towel. The linear equations representing the scenario are:
                          38x + 61y = 791.50
                                   54x + 50y = 923
When solving for x and y in the equations, the results are x = 12 and y = 5.5. Consequently, one bedsheet costs $12, and each towel is priced at $5.5. 
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