Roshel had some button collection.
12 of them were silver and the rest were purple. She gave away 196 of the purple buttons and 50% of the silver buttons. She then had
16 of her button collection left. How many buttons did Roshel give away?
| |
Silver |
Purple |
Total |
Total |
Before
|
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
6x1 =
6 u |
Change
|
- 0.5x3 =
- 1.5 u |
- 196 |
|
- 5x1 =
- 5 u |
After
|
0.5x3 =
1.5 u |
3 u - 196 |
|
1x1 =
1 u |
The total number of buttons that Roshel had at first is repeated. Make the total number of buttons at first the same. LCM 2 and 6 is 6.
Number of silver buttons that Roshel gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 196 = 5 u
5 u - 1.5 u = 196
3.5 u = 196
1 u = 196 ÷ 3.5 = 56
Number of buttons that Roshel gave away
= 5 u
= 5 x 56
= 280
Answer(s): 280
