Winnie had some coin collection.
12 of them were grey and the rest were brown. She gave away 113 of the brown coins and 50% of the grey coins. She then had
23 of her coin collection left. How many coins did Winnie give away?
| |
Grey |
Brown |
Total |
Total |
Before
|
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
3x2 =
6 u |
Change
|
- 0.5x3 =
- 1.5 u |
- 113 |
|
- 1x2 =
- 2 u |
After
|
0.5x3 =
1.5 u |
3 u - 113 |
|
2x2 =
4 u |
The total number of coins that Winnie had at first is repeated. Make the total number of coins at first the same. LCM 2 and 3 is 6.
Number of grey coins that Winnie gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 113 = 2 u
2 u - 1.5 u = 113
0.5 u = 113
1 u = 113 ÷ 0.5 = 226
Number of coins that Winnie gave away
= 2 u
= 2 x 226
= 452
Answer(s): 452
