Irene had some bead collection.
12 of them were grey and the rest were purple. She gave away 189 of the purple beads and 50% of the grey beads. She then had
25 of her bead collection left. How many beads did Irene give away?
| |
Grey |
Purple |
Total |
Total |
Before
|
1x5 =
5 u |
1x5 =
5 u |
2x5 =
10 u |
5x2 =
10 u |
Change
|
- 0.5x5 =
- 2.5 u |
- 189 |
|
- 3x2 =
- 6 u |
After
|
0.5x5 =
2.5 u |
5 u - 189 |
|
2x2 =
4 u |
The total number of beads that Irene had at first is repeated. Make the total number of beads at first the same. LCM 2 and 5 is 10.
Number of grey beads that Irene gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
2.5 u - 189 = 6 u
6 u - 2.5 u = 189
3.5 u = 189
1 u = 189 ÷ 3.5 = 54
Number of beads that Irene gave away
= 6 u
= 6 x 54
= 324
Answer(s): 324
