Gwen and Nicole collected beads. Nicole gave 60% of her beads to Gwen. As a result, Gwen's beads increased by 20%. If Gwen had 72 beads left, find the total number of beads the two girls had at first.
| |
Comparing the change
in Nicole's beads |
Nicole |
Gwen |
| Before |
5x1 =
5 u |
|
5x3 =
15 u |
| Change |
- 3x1 =
- 3 u |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
| After |
2x1 =
2 u |
|
6x3 =
18 u |
60% =
60100 =
35 20% =
20100 =
15 The number of beads that Gwen gave to Nicole is repeated. Make the number of beads that Gwen gave to Nicole the same. LCM of 1 and 3 is 3.
Number of beads that Gwen had in the end = 18 u
18 u = 72
1 u = 72 ÷ 18 = 4
Number of beads that Nicole and Gwen had at first
= 5 u + 15 u
= 20 u
= 20 x 4
= 80
Answer(s): 80
