Cathy and Tiffany collected beads. Cathy gave 25% of her beads to Tiffany and as a result, Tiffany's beads increased by 30%. If Cathy had 54 beads left, find the number of beads Tiffany should give to Cathy in the end so that both had an equal number of beads.
|
Cathy
|
Tiffany |
Comparing the change in Tiffany'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 Tiffany had is repeated. Make the increase in the number of beads that Tiffany had the same. LCM of 1 and 3 = 3
9 u = 54
1 u = 54 ÷ 9 = 6
Number of beads that Tiffany had more than Cathy in the end
= 13 u - 9 u
= 4 u
Number of beads that Tiffany should give to Cathy so that both had an equal number of beads in the end
= 4 u ÷ 2
= 2 u
= 2 x 6
= 12
Answer(s): 12