Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. he realizes he doesn't have enough cash and instead takes only 4 of each, which costs only $5. what is the price of each pen and pencil? a. pen, $0.75; pencil, $0.50 b. pen, $0.50; pencil, $0.25 c. pen, $1.00; pencil, $0.25 d. pen, $0.80; pencil, $0.35 e. pen, $1.20; pencil, $0.25

A. pen, $0.75; pencil, $0.50

Step-by-step explanation:

let pen be $x n pencil be $y

8 pencils and 6 pens cost a total of $8.50

(1) 8y + 6x = 8.5

4 of each cost $5

(2) 4y + 4x = 5

multiply (2) by 2:  8y + 8x = 10

subtract (1) from (2)x2:  8x - 6x = 10 - 8.5

2x = 1.5

x = 0.75

put back in (1):  8y + 6*0.75 = 8.5

8y = 8.5 - 4.5 = 4

y = 0.5

ans is A. pen, $0.75; pencil, $0.50

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step-by-step explanation:

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you answer is a

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