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Math Help - Finding value for this year using ratios, pie-chart and last year values?

  1. #1
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    Finding value for this year using ratios, pie-chart and last year values?

    Hi,
    Question is...
    if ratio of sports cars produced last year to this year is 3:5 and 14,000 trucks were produced last year, approximately how many sports cars were produced this year?

    imagine as a pie chart
    last year percentage hold for sports car = 23%
    this year percentage hold for sports car = 25%
    last year percentage hold for trucks = 14%
    this year percentage hold for trucks = 14%

    14, 000 / 0.14 = 10, 0000

    to find value for last it would be 10,000 * 23 / 100 = 23, 000. This would be correct but I need to find the value for this year?

    As multiple choice it would be either
    A) 7,700 B) 14,000 C) 15,330 D) 23,000 E) 38,000

    I think further calculation is required with ratios but I am not sure how to go about?
    attempted
    I tried 10, 000 * 5 / 8 (3+5) == 62500 = wrong

    Can someone provide a solution? Thanks in advance.
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  2. #2
    Grand Panjandrum
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    Re: Finding value for this year using ratios, pie-chart and last year values?

    Quote Originally Posted by tomb View Post
    Hi,
    Question is...
    if ratio of sports cars produced last year to this year is 3:5 and 14,000 trucks were produced last year, approximately how many sports cars were produced this year?
    Try reposting with the full question.

    CB
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  3. #3
    MHF Contributor ebaines's Avatar
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    Re: Finding value for this year using ratios, pie-chart and last year values?

    You are correct that 23,000 sports cars were produced last year. Next step is to use the fact that the ratio of sports cars made last year to this year is 3:5. So for every 3 cars they made last year they made 5 this year. Hence this year's production of sports cars is 23,000 x 5/3.
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  4. #4
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    Re: Finding value for this year using ratios, pie-chart and last year values?

    I was also doing 23,000 / 1.666666...7 = 13800. Then i tried 23,000 * 5 / 11 = 10454.45. The answer you provided is seems to be the only correct one (23,000 x 5/3 == 38333) So the nearest answer would seems to be 38,000. Thanks ebaines
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