Question

Staples sells boxes of pens for ($10) and rubber bands for ($24). Leona ordered a total of 24 cartons for $210. How many boxes of each did Leona order? Hint: Let P = Pens.

Answer 1

Leona ordered 19 boxes of pens and 5 rubber bands

Explanation:

Let there are p pen and b rubber bands.

ATQ,

p+b = 24 ...(1)

and

10p+4b = 210 ...(2)

Multiply equation (1) by 10.

10p+10b = 240 ...(3)

Subtract equation (2) from (3).

10p+10b-(10p+4b ) = 240-210

6b = 30

b = 5

Put the value of b in equation (1).

p+5 = 24

p = 19

Hence, Leona ordered 19 boxes of pens and 5 rubber bands.