Elyse had some button collection.
12 of them were gold and the rest were green. She gave away 187 of the green buttons and 50% of the gold buttons. She then had
15 of her button collection left. How many buttons did Elyse give away?
| |
Gold |
Green |
Total |
Total |
Before
|
1x5 =
5 u |
1x5 =
5 u |
2x5 =
10 u |
5x2 =
10 u |
Change
|
- 0.5x5 =
- 2.5 u |
- 187 |
|
- 4x2 =
- 8 u |
After
|
0.5x5 =
2.5 u |
5 u - 187 |
|
1x2 =
2 u |
The total number of buttons that Elyse had at first is repeated. Make the total number of buttons at first the same. LCM 2 and 5 is 10.
Number of gold buttons that Elyse gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
2.5 u - 187 = 8 u
8 u - 2.5 u = 187
5.5 u = 187
1 u = 187 ÷ 5.5 = 34
Number of buttons that Elyse gave away
= 8 u
= 8 x 34
= 272
Answer(s): 272
