PSLE Jeremy had a collection of foolscaps, correction tapes and markers. He had 92 foolscaps. 30% of his collection was correction tapes. He had 24 fewer correction tapes than markers.
- How many correction tapes did Jeremy have?
- Jeremy gave away some correction tapes. His total collection decreased by 20%. What percentage of his collection was correction tapes after that?
(a)
30% =
30100 =
310 Number of correction tapes = 3 u
Number of markers = 3 u + 24
Number of foolscaps = 92
Total number of items = 10 u
10 u = 3 u + 3 u + 24 + 92
10 u - 6 u = 116
4 u = 116
1 u = 116 ÷ 4 = 29
Number of correction tapes
= 3 u
= 3 x 29
= 87
(b)
Total number of items at first
= 10 u
= 10 x 29
= 290
Total collection in the end in percent
= 100% - 20%
= 80%
Number of items after giving away some correction tapes
= 80% x 290
=
80100 x 290
= 232
Number of markers and foolscaps
= 10 u - 3 u
= 7 u
= 7 x 29
= 203
Number of correction tapes left
= 232 - 203
= 29
Percentage of his collection that was correction tapes after that
=
29232 x 100%
= 12.5%
Answer(s): (a) 87; (b) 12.5%