PSLE
The pie charts show the number of each type of stationery in 2 stationery boxes, E and F. The total number of stationery in Box E is five times the total number of stationery in Box F.

1. Find the percentage of files in Box E.
2. What fraction of stationery in Box F is files?
3. The number of files in Box E is 100. Find the number of files in Box F.

(a)
^90°_360° = 25% of stationery in Box E

Percentage of markers in Box E = 25%

Percentage of files in Box E
= 100% - 55% - 25%
= 20%

(b)
Percentage of files in Box F
= 100% - 50% - 20%
= 30%

Fraction of stationery in Box F that is files
= ³₁₀

(c)
20% of stationery in Box E = 100
1% of stationery in Box E = 100 ÷ 20 = 5 
100% of the stationery in Box E = 100 x 5 = 500

Number of stationery in Box F
= 500 ÷ 5
= 100

100% of stationery in Box F = 100
1% of stationery in Box E = 100 ÷ 100 = 1
30% of stationery in Box E = 30 x 1 = 30  

Number of files in Box F = 30

Answer(s): (a) 20%; (b) ³₁₀; (c) 30