Shannon and Nicole collected marbles. Shannon gave 10% of her marbles to Nicole. As a result, Nicole's marbles increased by 80%. If Shannon had 108 marbles left, find the total number of marbles the two girls had at first.
| |
Shannon |
Nicole |
Comparing the change
in Nicole's marbles |
| Before |
10x4 =
40 u |
|
5x1 =
5 u |
| Change |
- 1x4 =
- 4 u |
+ 1x4 =
+ 4 u |
+ 4x1 =
+ 4 u |
| After |
9x4 =
36 u |
|
9x1 =
9 u |
10% =
10100 =
110 80% =
80100 =
45 The number of marbles that Shannon gave to Nicole is repeated. Make the number of marbles that Shannon gave to Nicole the same. LCM of 1 and 4 is 4.
Number of marbles that Shannon had in the end = 36 u
36 u = 108
1 u = 108 ÷ 36 = 3
Number of marbles that Shannon and Nicole had at first
= 40 u + 5 u
= 45 u
= 45 x 3
= 135
Answer(s): 135
