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Maths

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Sam used cement and sand to prepare a mixture. The ratio of the number of pails of cement used to the number of pails of sand used was 1:2. Sam then added 8 more pails of cement and the ratio became 5:2.
A.) How many pails of cement was used at first?
B.) How many pails of sand was used?

  • Maths -

    original amount of cement = x
    original amount of sand = 2x

    new amount of cement = x + 8
    new amount of sand = 2x

    (x+8)/(2x) = 5/2
    cross-multiply
    10x = 2x + 16
    8x = 16
    x = 2

    A) original amount of cement = 2 pails
    B) original amount of sand = 4

    check:
    new amount of cement = 2+8=10
    new amount of sand = 4

    10: 4 = 5:2

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