maths p5

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1. Three boxes A, B and C weigh 12kg altogether. Box A weighs 1.2kg more than B and 0.3kg more than C. What is the weight of the heaviest box?


2. Peter and Ali have 375 cards altogether. If Ali gives 25% of his cards to Peter, he will have 1/4 as many cards as Peter. How many cards does Ali have?

  • maths p5 -

    1)
    A = B + 1.2
    A = C + .3
    so,
    C = B + .9

    so,
    A+B+C = B+1.2 + B + B+.9 = 12.0
    3B + 2.1 = 12.0
    B = 3.3
    A = 4.5
    C = 4.2

    2)
    If p a gives 1/4 of his cards to p,

    3/4 a = 1/4(p + a/4)
    3a = p + a/4
    12a = 4p + a
    11a = 4p
    so,

    a + p = a + 11/4 a = 375
    15a/4 = 375
    15a = 1500
    a = 100
    so, p = 275

    if a gives 25 to p,
    then a = 75 and p = 300

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