SOLUTION: At a linen sale Mrs. Earl bought twice ad many pillowcases for $2 each as sheets for $5 each. If she spent less than $40, not including tax, what is the maximum number of pillowcas

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Question 1180678: At a linen sale Mrs. Earl bought twice ad many pillowcases for $2 each as sheets for $5 each. If she spent less than $40, not including tax, what is the maximum number of pillowcases she could have purchased?
Answer by ikleyn(52802) About Me  (Show Source):
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At a linen sale Mrs. Earl bought twice ad many pillowcases for $2 each as sheets for $5 each.
If she spent less than $40, not including tax, what is the maximum number of pillowcases she could have purchased?
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Let the number of sheets;  then the number of pillowcases is 2x, according to the condition.


We then write this money inequality

    2*(2x) + 5*x <= 40  dollars


We simplify and solve this inequality

    4x + 5x <= 40,

      9x    <= 40,

       x    <= 40%2F9 = 4.44  (rounded).


Since x is an integer number, it means that

       x    <= 4.


So, 4 is the maximum possible value for x.


It means that the maximum number of pillowcases is 2x = 2*4 = 8.    ANSWER

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