Posted by **Diana** on Friday, February 18, 2011 at 8:22am.

Penelope bought 17 large packs and 5 small packs of identical pens. When she got home, her little sister opened all of the packages on the floor. If a total of 234 pens were on the floor, how man pens did a large pack contain?

- Math -
**MathMate**, Friday, February 18, 2011 at 10:55am
Here we have

L=Size of large packs, L∈ℕ

S=Size of small packs, S∈ℕ

with the conditions

1. L>S

2. 17L+5S=234

The integer solutions to L are:

L=2 =>S=(234-2*17)/5=40

L=7 =>S=(234-7*17)/5=23

L=12 =>S=(234-12*17)/5=6

So make your choice according to the constraints from the following:

(2,40),(7,23),(12,6)

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