Wesley and Simon shared some pens in the ratio of 5 : 7. After both each gave away 39 pens to their cousin, the ratio of the number of pens Wesley had to the total number of pens left was 1 : 5. How many pens did the two boys have in the end?
| |
Wesley |
Simon |
Difference |
| Before |
5x3 =
15 u |
7x3 =
21 u |
2x3 =
6 u |
| Change |
- 39 |
- 39 |
|
| After |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
Number of pens that Wesley and Simon each gave to their cousin is the same.
The difference in the number of pens at first and in the end between Wesley and Simon remains unchanged. Make the difference in the number of pens the same. LCM of 2 and 3 is 6.
Number of pens that Wesley gave to their cousin
= 15 u - 2 u
= 13 u
13 u = 39
1 u = 39 ÷ 13 = 3
Number of pens that the two boys had in the end
= 2 u + 8 u
= 10 u
= 10 x 3
= 30
Answer(s): 30
