Gwen and Anna collected coins. Gwen gave 50% of her coins to Anna and as a result, Anna's coins increased by 30%. If Gwen had 12 coins left, find the number of coins Anna should give to Gwen in the end so that both had an equal number of coins.
| |
Gwen
|
Anna |
Comparing the change
in Anna'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 Anna had is repeated. Make the increase in the number of coins that Anna had the same. LCM of 1 and 3 = 3
3 u = 12
1 u = 12 ÷ 3 = 4
Number of coins that Anna had more than Gwen in the end
= 13 u - 3 u
= 10 u
Number of coins that Anna should give to Gwen so that both had an equal number of coins in the end
= 10 u ÷ 2
= 5 u
= 5 x 4
= 20
Answer(s): 20
