Xuan had some marble collection.
12 of them were silver and the rest were green. She gave away 186 of the green marbles and 50% of the silver marbles. She then had
23 of her marble collection left. How many marbles did Xuan give away?
| |
Silver |
Green |
Total |
Total |
Before
|
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
3x2 =
6 u |
Change
|
- 0.5x3 =
- 1.5 u |
- 186 |
|
- 1x2 =
- 2 u |
After
|
0.5x3 =
1.5 u |
3 u - 186 |
|
2x2 =
4 u |
The total number of marbles that Xuan had at first is repeated. Make the total number of marbles at first the same. LCM 2 and 3 is 6.
Number of silver marbles that Xuan gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 186 = 2 u
2 u - 1.5 u = 186
0.5 u = 186
1 u = 186 ÷ 0.5 = 372
Number of marbles that Xuan gave away
= 2 u
= 2 x 372
= 744
Answer(s): 744
