Shannon and Kylie collected pens. Kylie gave 60% of her pens to Shannon. As a result, Shannon's pens increased by 40%. If Shannon had 231 pens left, find the total number of pens the two girls had at first.
| |
Comparing the change
in Kylie's pens |
Kylie |
Shannon |
| Before |
5x2 =
10 u |
|
5x3 =
15 u |
| Change |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
+ 2x3 =
+ 6 u |
| After |
2x2 =
4 u |
|
7x3 =
21 u |
60% =
60100 =
35 40% =
40100 =
25 The number of pens that Shannon gave to Kylie is repeated. Make the number of pens that Shannon gave to Kylie the same. LCM of 2 and 3 is 6.
Number of pens that Shannon had in the end = 21 u
21 u = 231
1 u = 231 ÷ 21 = 11
Number of pens that Kylie and Shannon had at first
= 10 u + 15 u
= 25 u
= 25 x 11
= 275
Answer(s): 275
