Olivia and Abi collected cards. Olivia gave 50% of her cards to Abi and as a result, Abi's cards increased by 30%. If Olivia had 24 cards left, find the number of cards Abi should give to Olivia in the end so that both had an equal number of cards.
| |
Olivia
|
Abi |
Comparing the change
in Abi's cards
|
|
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 cards that Abi had is repeated. Make the increase in the number of cards that Abi had the same. LCM of 1 and 3 = 3
3 u = 24
1 u = 24 ÷ 3 = 8
Number of cards that Abi had more than Olivia in the end
= 13 u - 3 u
= 10 u
Number of cards that Abi should give to Olivia so that both had an equal number of cards in the end
= 10 u ÷ 2
= 5 u
= 5 x 8
= 40
Answer(s): 40
