Elyse and Yen collected beads. Elyse gave 30% of her beads to Yen and as a result, Yen's beads increased by 25%. If Elyse had 35 beads left, find the number of beads Yen should give to Elyse in the end so that both had an equal number of beads.
|
Elyse
|
Yen |
Comparing the change in Yen's beads
|
Before
|
10x1 = 10 u |
|
4x3 = 12u |
Change
|
- 3x1 = - 3 u
|
+ 3x1 = + 3 u
|
+ 1x3 = + 3 u
|
After
|
7x1 = 7 u
|
|
5x3 = 15 u |
30% =
30100 =
31025% =
25100 =
14The increase in the number of beads that Yen had is repeated. Make the increase in the number of beads that Yen had the same. LCM of 3 and 1 = 3
7 u = 35
1 u = 35 ÷ 7 = 5
Number of beads that Yen had more than Elyse in the end
= 15 u - 7 u
= 8 u
Number of beads that Yen should give to Elyse so that both had an equal number of beads in the end
= 8 u ÷ 2
= 4 u
= 4 x 5
= 20
Answer(s): 20