PSLE Harry had a collection of rulers, highlighters and correction tapes. He had 14 rulers. 40% of his collection was highlighters. He had 12 fewer highlighters than correction tapes.
- How many highlighters did Harry have?
- Harry gave away some highlighters. His total collection decreased by 20%. What percentage of his collection was highlighters after that?
(a)
40% =
40100 =
25 Number of highlighters = 2 u
Number of correction tapes = 2 u + 12
Number of rulers = 14
Total number of items = 5 u
5 u = 2 u + 2 u + 12 + 14
5 u - 4 u = 26
1 u = 26
Number of highlighters
= 2 u
= 2 x 26
= 52
(b)
Total number of items at first
= 5 u
= 5 x 26
= 130
Total collection in the end in percent
= 100% - 20%
= 80%
Number of items after giving away some highlighters
= 80% x 130
=
80100 x 130
= 104
Number of correction tapes and rulers
= 5 u - 2 u
= 3 u
= 3 x 26
= 78
Number of highlighters left
= 104 - 78
= 26
Percentage of his collection that was highlighters after that
=
26104 x 100%
= 25%
Answer(s): (a) 52; (b) 25%