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%)