PSLE Peter had a collection of highlighters, pens and notebooks. He had 11 highlighters. 40% of his collection was pens. He had 13 fewer pens than notebooks.
- How many pens did Peter have?
- Peter gave away some pens. His total collection decreased by 20%. What percentage of his collection was pens after that?
(a)
40% =
40100 =
25 Number of pens = 2 u
Number of notebooks = 2 u + 13
Number of highlighters = 11
Total number of items = 5 u
5 u = 2 u + 2 u + 13 + 11
5 u - 4 u = 24
1 u = 24
Number of pens
= 2 u
= 2 x 24
= 48
(b)
Total number of items at first
= 5 u
= 5 x 24
= 120
Total collection in the end in percent
= 100% - 20%
= 80%
Number of items after giving away some pens
= 80% x 120
=
80100 x 120
= 96
Number of notebooks and highlighters
= 5 u - 2 u
= 3 u
= 3 x 24
= 72
Number of pens left
= 96 - 72
= 24
Percentage of his collection that was pens after that
=
2496 x 100%
= 25%
Answer(s): (a) 48; (b) 25%