Kimberly and Rachel collected beads. Rachel gave 70% of her beads to Kimberly. As a result, Kimberly's beads increased by 25%. If Kimberly had 140 beads left, find the total number of beads the two girls had at first.
|
Comparing the change in Rachel's beads |
Rachel |
Kimberly |
Before |
10x1 = 10 u |
|
4x7 = 28 u |
Change |
- 7x1 = - 7 u |
- 1x7 = - 7 u |
+ 1x7 = + 7 u |
After |
3x1 = 3 u |
|
5x7 = 35 u |
70% =
70100 =
710 25% =
25100 =
14 The number of beads that Kimberly gave to Rachel is repeated. Make the number of beads that Kimberly gave to Rachel the same. LCM of 1 and 7 is 7.
Number of beads that Kimberly had in the end = 35 u
35 u = 140
1 u = 140 ÷ 35 = 4
Number of beads that Rachel and Kimberly had at first
= 10 u + 28 u
= 38 u
= 38 x 4
= 152
Answer(s): 152