Shannon and Gillian have some pens in the ratio 3 : 13. Shannon has 80 less pens than Gillian. How many pens must Gillian give to Shannon so that they will have the same number of pens?
| |
Shannon |
Gillian |
Total |
| Before |
3 u |
13 u |
16 u |
| Change |
+ 5 u |
- 5 u |
|
After |
1x8 =
8 u |
1x8 =
8 u |
2x8 =
16 u |
The total number of pens remains unchanged. Make the total number of pens at first and in the end the same. LCM of 2 and 16 is 16.
Difference in the number of pens at first
= 13 u - 3 u
= 10 u
10 u = 80
1 u = 80 ÷ 10 = 8
Number of pens that each of them had in the end
= 16 u ÷ 2
= 8 u
Number of pens that Gillian must give to Shannon
= 8 u - 3 u
= 5 u
= 5 x 8
= 40
Answer(s): 40
