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A library received$1,300 grant. It spends 10% of the grant on magazine subscriptions, ...

A library received $1,300 grant. It spends 10% of the grant on magazine subscriptions, 35% on new books, 15% to repair damaged books, 30% to buy new furniture and 10% to train library staff.
(a) Represent this information on a pie chart.
(b) Calculate, correct to the nearest whole number, the percentage increase of the amount for buying books over that of new furniture.
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    Correct Answer: Option n
    Explanation:

    Income = $1,300 grant
    Grant on different aspects:
    Magazine = \(\frac{10}{100} \times 1300 = $130\)
    New books = \(\frac{35}{100} \times 1300 = $455\)
    Damaged books = \(\frac{15}{100} \times 1300 = $195\)
    New furniture = \(\frac{30}{100} \times 1300 = $390\)
    Library staff = \(\frac{10}{100} \times 1300 = $130\)
    For pie chart,
    Magazine = \(\frac{130}{1300} \times 360° = 36°\)
    New books = \(\frac{455}{1300} \times 360° = 126°\)
    Damaged books = \(\frac{195}{1300} \times 360° = 54°\)
    New furniture = \(\frac{390}{1300} \times 360° = 108°\)
    Library staff = \(\frac{130}{1300} \times 360° = 36°\)

    (b) Percentage increase = \(\frac{455 - 390}{390} \times 100% =16.67%\)

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