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T a linen sale Mrs. Earle bought twice as 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?

Respuesta :

carlosego
For this case, the first thing we must do is define variables:
 x: number of pillowcases
 y: number of sheets
 We now write the system of equations:
 2x + 5y = 40
 x = 2y
 Solving the system we have:
 x = 8.9
 y = 4.4
 Answer:
 The maximum number of pillowcases she could have purchased is:
 x = 8 (spent less than $ 40)

Answer:

8

Step-by-step explanation:

x = pillow = 2y according the equation

y = sheets

2x+5y=40

2(2y)+5y=40

9y= 40

y = 4.4

2x + 5(4.4)=40

2x+22=40

2x=18

x= 9

she should spend less than 40 so

first we can substitute the x and y values

2(9)+ 5(4.4) =40

40 =40

we have to make less than

so, 2(8)+5(4.4) <40

38 < 40

x = 9

y = 4.4

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