If 8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10, how much does each pen and pencil cost?

Answer with Step-by-step explanation:

Let x be the cost of 1 pen and y be the cost of 1 pencil

8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10

8x+7y= 3.37  (1)

and 5x+11y= 3.10  (2)

equation (1)×5-equation(2)×8

5(8x+7y)-8(5x+11y)=3.37×5-3.10×8

40x+35y-40x-88y= -7.95

-53y = -7.95

y= 0.15

Putting y=0.15 in equation (1), we get

8x+7×0.15=3.37

8x+1.05=3.37

8x=2.32

x=0.29

Hence, Cost of 1 pen=$ 0.29

Cost of 1 pencil= $ 0.15

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step-by-step explanation:

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