Three girls used the same number of beads to make necklaces. Roshel used
35 of her beads, Cathy used
25 of hers and Ivory used
23 of hers. They had a total of 306 beads at first. How many beads did each girl use?
Make the numerators the same.
LCM of 3, 2 and 2 = 6
35 Roshel's beads =
25 Cathy's beads =
23 Ivory's beads
3x25x2 Roshel's beads =
2x35x3 Cathy's beads =
2x33x3 Ivory's beads
610 Roshel's beads =
615 Cathy's beads =
69 Ivory's beads
| |
Roshel |
Cathy |
Ivory |
| Before |
10 u |
15 u |
9 u |
| Change |
- 6 u |
- 6 u |
- 6 u |
| After |
4 u |
9 u |
3 u |
Total number of beads at first
= 10 u + 15 u + 9 u
= 34 u
34 u = 306
1 u = 306 ÷ 34 = 9
Number of beads that each girl used
= 6 u
= 6 x 9
= 54
Answer(s): 54
