Opal and Xandra collected coins. Opal gave 50% of her coins to Xandra and as a result, Xandra's coins increased by 30%. If Opal had 15 coins left, find the number of coins Xandra should give to Opal in the end so that both had an equal number of coins.
| |
Opal
|
Xandra |
Comparing the change
in Xandra's coins
|
|
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 coins that Xandra had is repeated. Make the increase in the number of coins that Xandra had the same. LCM of 1 and 3 = 3
3 u = 15
1 u = 15 ÷ 3 = 5
Number of coins that Xandra had more than Opal in the end
= 13 u - 3 u
= 10 u
Number of coins that Xandra should give to Opal so that both had an equal number of coins in the end
= 10 u ÷ 2
= 5 u
= 5 x 5
= 25
Answer(s): 25
