Question

Brittney, a school teacher, needs to by pens and pencils for the new school year. Pens cost $0.35 each and pencils cost $0.20 each. She needs to buy at least 300 pens and pencils, while spending no more than $80. Which system of inequalities models correctly the number of pens, x, and number pencils, y, that Brittney can purchase?

Answer 1

Let the number of pens to be bought = x

Let the number of pencils to be bought = y

Cost of 1 pen = $0.35

Cost of 1 pencil = $ 0.20

Number of pens and pencils needed = at least 300

Money to be spent = no more than $80

Inequalities become =

`x+y\geq300` ...... (1)

`0.35x+0.20y\leq80` ....(2)