Math

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?

asked by Diana
  1. 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)




    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Marcella and Rupert bought party stuff. Marcella bought 3 packs of ballooons and 4 packs of favors for a total of $14.63. Rupert bought 2 packs of balloons and 5 packs of favors for a total or $16.03. Find the price of each and
  2. algebra

    Kiesha buys pens and notepads. Pens come in packs of 10. What is the minimum number of packs of each that she needs to buy in order to have an even number of each with none left over?
  3. Math

    Keisha bought some packs of gum.there was 5 stiks of gum in ech pack.she opened the packs then gave 8 sticks to her sister.this left keisha with 27 sticks os gum. How many packs of gum did keisha buy?
  4. math

    Question 2 of 5 Instructions:Select the correct answer. A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pens and n composition books. The store offers a
  5. Math

    A group of 8 Office Workers order 12 packs of sushi from The lucal japanes restant for lunch if the packs of sushi are shared equally.What fraction of packs Will each Office Works Will git?
  6. Math

    Find the number of each kind of object in the collection. Sue's Card Collection 8 packs of baseball cards 3 fewer packs of hockey cards than football cards 17 packs in all
  7. Math

    Find the number of each kind of object in the collection. Sue's Card Collection 8 packs of baseball cards 3 fewer packs of hockey cards than football cards 17 packs in all
  8. Math

    Kamal bought 7 packs of paper clips for a project. Then he bought 8 more packs. There are 25 paper clips in each pack. How many paper clips did he buy?
  9. algebra

    the office manager of a small office ordered 120 packs of printer paper.based on average daily use, she knows that the paper will last about 40 days. what graph represents this situation? how many packs of printer paper should the
  10. MATH

    Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20. What are the least numbers of packs you should buy in order to have the same number of plates, utensils, and cups?

More Similar Questions