Flynn, Will and Ivan had some pens in the ratio of 2 : 3 : 5. Ivan gave 40% of his pens to Flynn and Will. As a result, Flynn had the same number of pens as Will and Ivan had 40 fewer pens than Flynn.
- What was the percentage increase in Flynn's pens after receiving from Ivan?
- How many pens did Will have at first?
| Flynn |
Will |
Ivan |
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 Ivan gave away
= 40% x 5
=
40100 x 5
= 2 u
Number of pens that Flynn and Will each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u
Increase in the number of pens that Flynn had
= 3.5 u - 2 u
= 1.5 u
Percentage increase in Flynn's pens after receiving from Ivan
=
1.52 x 100%
= 75%
(b)
3.5 u = 3 u + 40
3.5 u - 3 u = 40
0.5 u = 40
1 u = 40 ÷ 0.5 = 80
Number of pens that Will had at first
= 3 u
= 3 x 80
= 240
Answer(s): (a) 75%; (b) 240
