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For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations. If she has 22 travelers checks in all, how many of each denomination does she have?

Let x represent the number of $10 traveler's checks she has. Which expression represents the value of the $20 traveler's checks she has?

  • math -

    number of 10's --- x
    number of 20's ---- 22-x

    10x + 20(22-x) = 300
    10x + 440 - 20x = 300
    -10x = -140
    x = 14

    She bought 14 10's and 8 20's

    check: 14+8 = 22 check!
    10(14) + 20(8) = 300 check!

    BTW, time to update that textbook, I wonder how many people under 30 would even know what a traveler's check is.

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