Zara had some bead collection.
14 of them were red and the rest were gold. She gave away 200 of the gold beads and 50% of the red beads. She then had
23 of her bead collection left. How many beads did Zara give away?
| |
Red |
Gold |
Total |
Total |
Before
|
1x3 =
3 u |
3x3 =
9 u |
4x3 =
12 u |
3x4 =
12 u |
Change
|
- 0.5x3 =
- 1.5 u |
- 200 |
|
- 1x4 =
- 4 u |
After
|
0.5x3 =
1.5 u |
9 u - 200 |
|
2x4 =
8 u |
The total number of beads that Zara had at first is repeated. Make the total number of beads at first the same. LCM 4 and 3 is 12.
Number of red beads that Zara gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
1.5 u - 200 = 4 u
4 u - 1.5 u = 200
2.5 u = 200
1 u = 200 ÷ 2.5 = 80
Number of beads that Zara gave away
= 4 u
= 4 x 80
= 320
Answer(s): 320
