Gabby and Abi collected beads. Gabby gave 25% of her beads to Abi and as a result, Abi's beads increased by 30%. If Gabby had 36 beads left, find the number of beads Abi should give to Gabby in the end so that both had an equal number of beads.
| |
Gabby
|
Abi |
Comparing the change
in Abi'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 Abi had is repeated. Make the increase in the number of beads that Abi had the same. LCM of 1 and 3 = 3
9 u = 36
1 u = 36 ÷ 9 = 4
Number of beads that Abi had more than Gabby in the end
= 13 u - 9 u
= 4 u
Number of beads that Abi should give to Gabby so that both had an equal number of beads in the end
= 4 u ÷ 2
= 2 u
= 2 x 4
= 8
Answer(s): 8
