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In the Johnsons' monthly budget (OG2016)

This topic has 3 expert replies and 2 member replies
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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In the Johnsons' monthly budget (OG2016)

Post Fri May 06, 2016 12:32 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

    A) 900
    B) 720
    C) 675
    D) 450
    E) 225

    OA: D

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    OptimusPrep Master | Next Rank: 500 Posts
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    Post Sat May 07, 2016 7:45 pm
    boomgoesthegmat wrote:
    In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

    A) 900
    B) 720
    C) 675
    D) 450
    E) 225

    OA: D
    Household expenses : Food : Miscellaneous items are in the ratio 5:2:1
    Amount allocated to food = (2/8)*1800 = 1800/4 = $450

    Correct Option: D

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    Post Sun May 08, 2016 6:02 am
    boomgoesthegmat wrote:
    In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

    A) 900
    B) 720
    C) 675
    D) 450
    E) 225

    OA: D
    GIVEN: household expenses $ : food $ : miscellaneous $ = 5:2:1
    5 + 2 + 1 = 8.
    So, for every $8 in the budget, $5 goes to household expenses, $2 goes to food and $1 goes to miscellaneous

    $1800/8 = $225

    So...
    - household expenses = 5($225) = $1225
    - food = 2($225) = $450
    - miscellaneous = 1($225) = $225

    Answer: D

    RELATED RESOURCE: This video explains the technique for dividing amounts into specific ratios (as we did with this question): https://www.gmatprepnow.com/module/gmat-arithmetic/video/1081

    Cheers,
    Brent

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    800_or_bust Master | Next Rank: 500 Posts Default Avatar
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    Post Sun May 08, 2016 7:41 pm
    boomgoesthegmat wrote:
    In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

    A) 900
    B) 720
    C) 675
    D) 450
    E) 225

    OA: D
    I would approach this by simply setting up an equation. Set x = the total spent on miscellaneous items. Given the ratios, we know they spent 5 times this amount on household expenses and 2 times this amount on food. Therefore, 5x = total spent on household items, and 2x = total spent on food. We need to solve for 2x. Finally, we are given that the total amount spent was $1800.00.

    Therefore, we can set up the following equation and solve for 2x.

    5x+2x+x = 1800, which simplifies to 8x = 1800.

    Next, divide both sides of the equation by 4 to solve for 2x.

    8x/4 = 1800/4

    2x = 450.

    Accordingly, the answer is D.

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    Post Mon May 09, 2016 10:40 am
    boomgoesthegmat wrote:
    In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

    A) 900
    B) 720
    C) 675
    D) 450
    E) 225

    OA: D
    To solve this question, it will be best to first express the given ratio using variable multipliers. Thus, we have:

    Household Expenses : Food : Miscellaneous = 5x : 2x : x

    Since we are told that the TOTAL amount allocated to these categories is $1,800 we can set up the equation:

    5x + 2x + x = 1,800

    8x = 1,800

    x = 225

    Thus, the total amount allocated to food is 2 x 225 = $450.

    Answer D

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    Post Wed May 11, 2016 11:57 pm
    Since this is a ratio, each term has the same multiple: we'll call it x.

    5x + 2x + 1x = 1800, so x = 225.

    Food = 2x, so 2*225, or 450.

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