Winnie had some bead collection.
12 of them were red and the rest were silver. She gave away 102 of the silver beads and 50% of the red beads. She then had
17 of her bead collection left. How many beads did Winnie give away?
| |
Red |
Silver |
Total |
Total |
Before
|
1x7 =
7 u |
1x7 =
7 u |
2x7 =
14 u |
7x2 =
14 u |
Change
|
- 0.5x7 =
- 3.5 u |
- 102 |
|
- 6x2 =
- 12 u |
After
|
0.5x7 =
3.5 u |
7 u - 102 |
|
1x2 =
2 u |
The total number of beads that Winnie had at first is repeated. Make the total number of beads at first the same. LCM 2 and 7 is 14.
Number of red beads that Winnie gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
3.5 u - 102 = 12 u
12 u - 3.5 u = 102
8.5 u = 102
1 u = 102 ÷ 8.5 = 12
Number of beads that Winnie gave away
= 12 u
= 12 x 12
= 144
Answer(s): 144
