Granddad's weekly pension

Granddad spends one quarter of his weekly pension on a Friday night out, and one third of what remains on a Saturday night. What fraction of his weekend pension is left for him to spend during the rest of the week?

Comments

  1. We can create some equations:
    x = total weekly pension
    y = remaining pension
    x - (1/4x + 1/3(1 - 1/4)x) = y
    x - (1/4x + 1/3x - 1/12x) = y
    x - 1/2x = y
    y = 1/2x

    This gives us our answer:
    1/2 of Granddad's weekly pension is left for him to spend during the rest of the week

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