Respuesta :

Answer:

A

a notebook costs $2.50

a poem costs $1.50

B

he can buy 3 pens (and correspondingly 9 notebooks)

Step-by-step explanation:

x = price of 1 notebook

y = price of 1 pen

4x + 3y = 14.5

5x + 6y = 21.5

let's multiply the first equating by -2 and then add both equations

-8x - 6y = -29

5x + 6y = 21.5

----------------------

-3x 0 = -7.5

x = 2.5 = $2.50

4×2.5 + 3y = 14.5

10 + 3y = 14.5

3y = 4.5

y = 1.5 = $1.50

p = number of pens

n = number of notebooks

n = 3p

p×1.5 + n×2.5 = 27

p×1.5 + 3p×2.5 = 27

(1.5 + 7.5)p = 27

9p = 27

p = 3