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.
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 = \(\frac{455 - 390}{390} \times 100% =16.67%\)