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Sam wants to buy 8 pencils and 6 pens, Wich cost a total of $8.50. He realizes he doesn’t have enough cash and instead takes only 4 of each, which cost only $5. What is the price of each pen and pencil

Respuesta :

Answer:

n = 0.75

p = 0.5

Step-by-step explanation:

let p = number of pencils

let n = number of pens

8p + 6n = 8.50      (1)

4p + 4n = 5           (2)

(2) x 2    8p + 8n = 10 (3)


8p + 6n = 8.50     (1)

8p + 8n = 10         (3)

(3) - (1)     2n = 1.50

                 n = 0.75


substitute n back in to find p

4p + 4 x 0.75 = 5

4p + 3 = 5

4p = 2

p = 0.5


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