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At a certain automobile dealership

This topic has 3 expert replies and 0 member replies

At a certain automobile dealership

Post Mon Sep 25, 2017 7:09 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is 35 less than 3 times the number of hybrid Tajimas. 205 total Tajimas are currently owned by the dealership. If the ratio of hybrid Tajimas to nonhybrid Franks is 5:4 and there are 280 total automobiles owned by the dealership, how many hybrid Franks are there?

    A) 20
    B) 27
    C) 48
    D) 60
    E) 87

    The OA is B.

    I got confused. Can any expert help me here. The ratio confuses me.

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    Post Mon Sep 25, 2017 10:45 pm
    Vincen wrote:
    At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is 35 less than 3 times the number of hybrid Tajimas. 205 total Tajimas are currently owned by the dealership. If the ratio of hybrid Tajimas to nonhybrid Franks is 5:4 and there are 280 total automobiles owned by the dealership, how many hybrid Franks are there?

    A) 20
    B) 27
    C) 48
    D) 60
    E) 87

    The OA is B.

    I got confused. Can any expert help me here. The ratio confuses me.
    Say the number of hybrid Tajimas = x

    Thus, the number of nonhybrid Tajimas = 3x - 35

    We know that the total number of Tajimas = 205

    Thus, x + (3x - 35) = 205

    x = 60

    Given that the ratio of hybrid Tajimas to nonhybrid Franks is 5 : 4, the number of nonhybrid Franks = (4/5)*(number of hybrid Tajimas) = (4/5)*(60) = 48

    The number of nonhybrid Franks = 48

    We know that the total number of automobiles = 280

    Thus, the total number of Franks = 280 - 205 = 75

    Again, the number of hybrid Franks + the number of nonhybrid Franks = 75

    The number of hybrid Franks = 75 - The number of nonhybrid Franks = 75 - 48 = 27.

    The correct answer: B

    Hope this helps!

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    GMAT/MBA Expert

    Post Tue Sep 26, 2017 4:55 pm
    Start with the Tajimas. We've got 205 of them. Call the hybrids h and the nonhybrids n. That gives us

    h + n = 205
    n = 3h - 35

    Solve that system: h = 60, n = 145

    Since h = 60 and the ratio of h : nonhybrid Franks = 5 : 4, we know nonhybrid Franks = 48.

    We've got 75 total Franks, meaning there are 27 left over, all of which must be hybrids.

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    GMAT/MBA Expert

    Post Tue Sep 26, 2017 4:56 pm
    Footnote: this question is designed to waste time and test your speed. There are a couple like this (at least) on every exam, so if the clock is against you and you're feeling overwhelmed, this is a good one on which to make a quick educated guess to get past.

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