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Math Help - ratio once again

  1. #1
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    ratio once again

    Q1.
    A cake mixture contains flour sugar and margarine in the ratio 4:3:2. How much sugar is needed to make 630g of the cake mixture?

    Q2.

    3 parts of yellow paint are mixed with 4 parts of red paint to make orange paint. Zahid has 75ml of yellow paint and 120ml of red paint .
    what is the maximum amount of orange paint he can make?

    Q3.
    Last year jameela was 110cm tall. This year she has increased in height by 25%.
    What is the ratio of her height last year to her height this year?

    thank you if you can help me =)
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by Blademaster View Post
    Q1.
    A cake mixture contains flour sugar and margarine in the ratio 4:3:2. How much sugar is needed to make 630g of the cake mixture?

    Q2.

    3 parts of yellow paint are mixed with 4 parts of red paint to make orange paint. Zahid has 75ml of yellow paint and 120ml of red paint .
    what is the maximum amount of orange paint he can make?

    Q3.
    Last year jameela was 110cm tall. This year she has increased in height by 25%.
    What is the ratio of her height last year to her height this year?

    thank you if you can help me =)
    1. 4x+3x+2x=630 \implies x = 70 grams.

    So how much sugar do you need?

    3. jameela's height this year:

     110 + \frac{25}{100} \times 110 = ....

    using this height and the old height to find the ratio.
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  3. #3
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    Quote Originally Posted by Blademaster View Post
    Q1.
    A cake mixture contains flour sugar and margarine in the ratio 4:3:2. How much sugar is needed to make 630g of the cake mixture?

    Q2.

    3 parts of yellow paint are mixed with 4 parts of red paint to make orange paint. Zahid has 75ml of yellow paint and 120ml of red paint .
    what is the maximum amount of orange paint he can make?

    Q3.
    Last year jameela was 110cm tall. This year she has increased in height by 25%.
    What is the ratio of her height last year to her height this year?

    thank you if you can help me =)
    Hi blademaster,

    Q1

    The cake is made of 4+3+2=9 parts.
    The sugar makes up 3 parts out of this 9, which is third of the cake mixture.

    What then is the amount of sugar ?

    Q2

    The amount of yellow used is \frac{3}{4} of the amount of red.
    If all the red was used, \frac{3}{4}120=90ml of yellow would be needed.

    Only 75ml of yellow is available, therefore calculate \frac{4}{3} of this to find the amount of red for the correct mixture.

    The amount of orange paint is the sum of the two.

    Q3

    She is 1.25h in height now if "h" is last year's height.
    Hence the ratio is last year's height divided by this year's height.
    As h is a factor of both, it cancels.
    There is no need to know the exact height,
    however, you may calculate this year's height by multiplying last year's height by 1.25 or \frac{5}{4}
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