Matematika

Pertanyaan

Benjamin bought tokens at a funfair. He used 3/8 of them at the ring-toss booth and 2/5 of the remaining tokens at the darts booth. He then bought another 35 tokens and had 10 tokens more than what he had at first. How many tokens did benjamin have at first?

1 Jawaban

  • a = amount of token at first

    used at ring toss = 3/8 a

    used at dart = 2/5 × (remaining from ring toss)
                         = 2/5 × (a - 3/8 a)
                         = 2/5 × 5/8 a
                         = 2/8 a


    remaining from ring toss and dart + 35 = total tokens + 10
    (total - used at ring - used at dart) + 35 = total tokens + 10
    (a - 3/8 a - 2/8 a) + 35 = a + 10
    3/8 a + 35 = a + 10
    35 - 10 = a - 3/8 a
    25 = 5/8 a
    a = 25 × 8 ÷ 5
    a = 40


    So, total tokens at first is 40

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