WAEC Mathematics 2011 Theory question 105

Theory question 105

Data Presentation

A library received a $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 new books over that of new furniture.

Show the model answer
Model answer

(a) Angles = percentage × 3.6°: magazines 36°, new books 126°, repairs 54°, furniture 108°, training 36°. Draw and label the pie chart.
(b) New books = 35% of $1,300 = $455; furniture = 30% of $1,300 = $390.
Increase = 65/390 × 100% ≈ 16.7% ≈ 17%.

Explanation

Percentage increase is measured against the smaller amount (furniture).