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)

## Answer this Question

## Related Questions

- algebra - Kiesha buys pens and notepads. Pens come in packs of 10. What is the ...
- algebra - Marcella and Rupert bought party stuff. Marcella bought 3 packs of ...
- MATH - MR CHEN WANTS TO BUY 27 BLUE PENS AND 35 RED PENS. THE PENS ARE SOLD IN ...
- math - A salesperson bought a caase of pens.On Monday, he sold 1/2 of the pens....
- 12th grade - A farmer has 100 yards of fencing to form two identical rectangular...
- math - jared bought a package of pens containing 20 pens. If 3/4 of the pens had...
- math - a number of teachers were to receive 6 pens each ,but needed 4 more pens ...
- algebra - A pet boarding facility wants to build two adjacent pens of equal size...
- math - Ms.Franco has many pens.1/3 of her pens are blue.1/2 of her pens are ...
- word problem(algebra) - a shopkeeper bought 16 boxes of pens.each box contained ...