Asked by Diana
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?
Answers
Answered by
MathMate
Here we have
L=Size of large packs, Lāā
S=Size of small packs, Sāā
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)
L=Size of large packs, Lāā
S=Size of small packs, Sāā
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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