Xandra and Raeann collected marbles. Xandra gave 40% of her marbles to Raeann. As a result, Raeann's marbles increased by 60%. If Xandra had 72 marbles left, find the total number of marbles the two girls had at first.
| |
Xandra |
Raeann |
Comparing the change
in Raeann's marbles |
| Before |
5x3 =
15 u |
|
5x2 =
10 u |
| Change |
- 2x3 =
- 6 u |
+ 2x3 =
+ 6 u |
+ 3x2 =
+ 6 u |
| After |
3x3 =
9 u |
|
8x2 =
16 u |
40% =
40100 =
25 60% =
60100 =
35 The number of marbles that Xandra gave to Raeann is repeated. Make the number of marbles that Xandra gave to Raeann the same. LCM of 2 and 3 is 6.
Number of marbles that Xandra had in the end = 9 u
9 u = 72
1 u = 72 ÷ 9 = 8
Number of marbles that Xandra and Raeann had at first
= 15 u + 10 u
= 25 u
= 25 x 8
= 200
Answer(s): 200
