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Problem Solving-Variables

This topic has 1 member reply
jd6199 Newbie | Next Rank: 10 Posts Default Avatar
Joined
07 Jan 2007
Posted:
5 messages

Problem Solving-Variables

Post Sat Jan 20, 2007 11:23 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    SOURCE: PEARSON PRACTICE TEST 1

    THE NUMBER OF STAMPS THAT KAYE AND ALBERTO HAD WERE IN THE RATIO OF 5:3 RESPECTIVELY. AFTER KAYE GAVE ALBERTO 10 OF HER STAMPS THE RATIO BECAME 7:5. AS A RESULT OF THIS GIFT KAYE HAD HOW MANY MORE STAMPS THAN ALBERTO?

    A.20
    B.30
    C.40
    D.60
    E.90

    CORRECT ANSWER IS C. HOW TO CALCULATE?

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    g2000 Junior | Next Rank: 30 Posts Default Avatar
    Joined
    09 Jan 2007
    Posted:
    19 messages
    Thanked:
    1 times
    Post Sat Jan 20, 2007 9:28 pm
    Let A be the number of stamps Alberto has and K be the # stamps Kaye has.

    K/A = 5/3
    (K-10)/(A+10) = 7/5

    Solve this equation for A and K and get A=90 and K=150

    That's the number before the gift.
    After the gift
    A = A + 10 = 90 + 10 = 100
    K = K - 10 = 150 - 10 = 140

    How many more?
    140-100 = 40

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