Owen, Flynn and Harry had some pens in the ratio of 2 : 3 : 5. Harry gave 40% of his pens to Owen and Flynn. As a result, Owen had the same number of pens as Flynn and Harry had 28 fewer pens than Owen.
- What was the percentage increase in Owen's pens after receiving from Harry?
- How many pens did Flynn have at first?
| Owen |
Flynn |
Harry |
Total |
| 2 u |
3 u |
5 u |
10 u |
| + 2 u |
- 2 u |
|
| 3.5 u |
3.5 u |
3 u |
10 u |
(a)
Number of pens that Harry gave away
= 40% x 5
=
40100 x 5
= 2 u
Number of pens that Owen and Flynn each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u
Increase in the number of pens that Owen had
= 3.5 u - 2 u
= 1.5 u
Percentage increase in Owen's pens after receiving from Harry
=
1.52 x 100%
= 75%
(b)
3.5 u = 3 u + 28
3.5 u - 3 u = 28
0.5 u = 28
1 u = 28 ÷ 0.5 = 56
Number of pens that Flynn had at first
= 3 u
= 3 x 56
= 168
Answer(s): (a) 75%; (b) 168
