Jen and Sarah collected beads. Sarah gave 60% of her beads to Jen. As a result, Jen's beads increased by 25%. If Jen had 150 beads left, find the total number of beads the two girls had at first.
|
Comparing the change in Sarah's beads |
Sarah |
Jen |
Before |
5x1 = 5 u |
|
4x3 = 12 u |
Change |
- 3x1 = - 3 u |
- 1x3 = - 3 u |
+ 1x3 = + 3 u |
After |
2x1 = 2 u |
|
5x3 = 15 u |
60% =
60100 =
35 25% =
25100 =
14 The number of beads that Jen gave to Sarah is repeated. Make the number of beads that Jen gave to Sarah the same. LCM of 1 and 3 is 3.
Number of beads that Jen had in the end = 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Number of beads that Sarah and Jen had at first
= 5 u + 12 u
= 17 u
= 17 x 10
= 170
Answer(s): 170