Victorium had some button collection.
12 of them were blue and the rest were purple. She gave away 179 of the purple buttons and 50% of the blue buttons. She then had
23 of her button collection left. How many buttons did Victorium give away?
| |
Blue |
Purple |
Total |
Total |
Before
|
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
3x2 =
6 u |
Change
|
- 0.5x3 =
- 1.5 u |
- 179 |
|
- 1x2 =
- 2 u |
After
|
0.5x3 =
1.5 u |
3 u - 179 |
|
2x2 =
4 u |
The total number of buttons that Victorium had at first is repeated. Make the total number of buttons at first the same. LCM 2 and 3 is 6.
Number of blue buttons that Victorium gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 179 = 2 u
2 u - 1.5 u = 179
0.5 u = 179
1 u = 179 ÷ 0.5 = 358
Number of buttons that Victorium gave away
= 2 u
= 2 x 358
= 716
Answer(s): 716
