Rachel and Jane collected beads. Rachel gave 25% of her beads to Jane and as a result, Jane's beads increased by 30%. If Rachel had 108 beads left, find the number of beads Jane should give to Rachel in the end so that both had an equal number of beads.
| |
Rachel
|
Jane |
Comparing the change
in Jane's beads
|
|
Before
|
4x3 =
12 u |
|
10x1 =
10u |
|
Change
|
- 1x3 =
- 3 u
|
+ 1x3 =
+ 3 u
|
+ 3x1 =
+ 3 u
|
|
After
|
3x3 =
9 u
|
|
13x1 =
13 u |
25% =
25100 =
1430% =
30100 =
310The increase in the number of beads that Jane had is repeated. Make the increase in the number of beads that Jane had the same. LCM of 1 and 3 = 3
9 u = 108
1 u = 108 ÷ 9 = 12
Number of beads that Jane had more than Rachel in the end
= 13 u - 9 u
= 4 u
Number of beads that Jane should give to Rachel so that both had an equal number of beads in the end
= 4 u ÷ 2
= 2 u
= 2 x 12
= 24
Answer(s): 24
