Three girls used the same number of beads to make necklaces. Abi used
25 of her beads, Nora used
34 of hers and Esther used
23 of hers. They had a total of 384 beads at first. How many beads did each girl use?
Make the numerators the same.
LCM of 2, 3 and 2 = 6
25 Abi's beads =
34 Nora's beads =
23 Esther's beads
2x35x3 Abi's beads =
3x24x2 Nora's beads =
2x33x3 Esther's beads
615 Abi's beads =
68 Nora's beads =
69 Esther's beads
|
Abi |
Nora |
Esther |
Before |
15 u |
8 u |
9 u |
Change |
- 6 u |
- 6 u |
- 6 u |
After |
9 u |
2 u |
3 u |
Total number of beads at first
= 15 u + 8 u + 9 u
= 32 u
32 u = 384
1 u = 384 ÷ 32 = 12
Number of beads that each girl used
= 6 u
= 6 x 12
= 72
Answer(s): 72