Shannon and Raeann collected marbles. Raeann gave 70% of her marbles to Shannon. As a result, Shannon's marbles increased by 30%. If Shannon had 364 marbles left, find the total number of marbles the two girls had at first.
| |
Comparing the change
in Raeann's marbles |
Raeann |
Shannon |
| Before |
10x3 =
30 u |
|
10x7 =
70 u |
| Change |
- 7x3 =
- 21 u |
- 3x7 =
- 21 u |
+ 3x7 =
+ 21 u |
| After |
3x3 =
9 u |
|
13x7 =
91 u |
70% =
70100 =
710 30% =
30100 =
310 The number of marbles that Shannon gave to Raeann is repeated. Make the number of marbles that Shannon gave to Raeann the same. LCM of 3 and 7 is 21.
Number of marbles that Shannon had in the end = 91 u
91 u = 364
1 u = 364 ÷ 91 = 4
Number of marbles that Raeann and Shannon had at first
= 30 u + 70 u
= 100 u
= 100 x 4
= 400
Answer(s): 400
