Lucy and Julie collected beads. Lucy gave 50% of her beads to Julie and as a result, Julie's beads increased by 30%. If Lucy had 21 beads left, find the number of beads Julie should give to Lucy in the end so that both had an equal number of beads.
| |
Lucy
|
Julie |
Comparing the change
in Julie's beads
|
|
Before
|
2x3 =
6 u |
|
10x1 =
10u |
|
Change
|
- 1x3 =
- 3 u
|
+ 1x3 =
+ 3 u
|
+ 3x1 =
+ 3 u
|
|
After
|
1x3 =
3 u
|
|
13x1 =
13 u |
50% =
50100 =
1230% =
30100 =
310The increase in the number of beads that Julie had is repeated. Make the increase in the number of beads that Julie had the same. LCM of 1 and 3 = 3
3 u = 21
1 u = 21 ÷ 3 = 7
Number of beads that Julie had more than Lucy in the end
= 13 u - 3 u
= 10 u
Number of beads that Julie should give to Lucy so that both had an equal number of beads in the end
= 10 u ÷ 2
= 5 u
= 5 x 7
= 35
Answer(s): 35
