Jane and Olivia collected beads. Olivia gave 60% of her beads to Jane. As a result, Jane's beads increased by 25%. If Jane had 30 beads left, find the total number of beads the two girls had at first.
| |
Comparing the change
in Olivia's beads |
Olivia |
Jane |
| 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 Jane gave to Olivia is repeated. Make the number of beads that Jane gave to Olivia the same. LCM of 1 and 3 is 3.
Number of beads that Jane had in the end = 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Number of beads that Olivia and Jane had at first
= 5 u + 12 u
= 17 u
= 17 x 2
= 34
Answer(s): 34
