Kathy had some bead collection.
15 of them were brown and the rest were purple. She gave away 154 of the purple beads and 20% of the brown beads. She then had
23 of her bead collection left. How many beads did Kathy give away?
| |
Brown |
Purple |
Total |
Total |
Before
|
1x3 =
3 u |
4x3 =
12 u |
5x3 =
15 u |
3x5 =
15 u |
Change
|
- 0.2x3 =
- 0.6 u |
- 154 |
|
- 1x5 =
- 5 u |
After
|
0.8x3 =
2.4 u |
12 u - 154 |
|
2x5 =
10 u |
The total number of beads that Kathy had at first is repeated. Make the total number of beads at first the same. LCM 5 and 3 is 15.
Number of brown beads that Kathy gave away
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
0.6 u - 154 = 5 u
5 u - 0.6 u = 154
4.4 u = 154
1 u = 154 ÷ 4.4 = 35
Number of beads that Kathy gave away
= 5 u
= 5 x 35
= 175
Answer(s): 175
