PSLEThe pie charts show the number of each type of stationery in 2 stationery boxes, M and N. The total number of stationery in Box M is five times the total number of stationery in Box N.
- Find the percentage of pencils in Box M.
- What fraction of stationery in Box N is pencils?
- The number of pencils in Box M is 150. Find the number of pencils in Box N.
(a)
90°360° = 25% of stationery in Box M
Percentage of highlighters in Box M = 25%
Percentage of pencils in Box M
= 100% - 45% - 25%
= 30%
(b)
Percentage of pencils in Box N
= 100% - 50% - 20%
= 30%
Fraction of stationery in Box N that is pencils
= 30100
=
310 (c)
30% of stationery in Box M = 150
1% of stationery in Box M = 150 ÷ 30 = 5
100% of the stationery in Box M = 100 x 5 = 500
Number of stationery in Box N
= 500 ÷ 5
= 100
100% of stationery in Box N = 100
1% of stationery in Box M = 100 ÷ 100 = 1
30% of stationery in Box M = 30 x 1 = 30
Number of pencils in Box N = 30
Answer(s): (a) 30%; (b)
310; (c) 30