Question

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

Answer 1

Answer:

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

step-by-step explanation: .75x4=$3.00. .50x4=$2.00 . $3.00+$2.00=$5.00

Answer 2

Answer:

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