PSLE Peter had a collection of highlighters, correction tapes and staplers. He had 252 highlighters. 15% of his collection was correction tapes. He had 14 fewer correction tapes than staplers.
- How many correction tapes did Peter have?
- Peter gave away some correction tapes. His total collection decreased by 20%. What percentage of his collection was correction tapes after that?
(a)
15% =
15100 =
320 Number of correction tapes = 3 u
Number of staplers = 3 u + 14
Number of highlighters = 252
Total number of items = 20 u
20 u = 3 u + 3 u + 14 + 252
20 u - 6 u = 266
14 u = 266
1 u = 266 ÷ 14 = 19
Number of correction tapes
= 3 u
= 3 x 19
= 57
(b)
Total number of items at first
= 20 u
= 20 x 19
= 380
Total collection in the end in percent
= 100% - 20%
= 80%
Number of items after giving away some correction tapes
= 80% x 380
=
80100 x 380
= 304
Number of staplers and highlighters
= 20 u - 3 u
= 17 u
= 17 x 19
= 323
Number of correction tapes left
= 304 - 323
= 19
Percentage of his collection that was correction tapes after that
=
19304 x 100%
= 6.25%
Answer(s): (a) 57; (b) 6.25%