Three girls used the same number of beads to make necklaces. Xandra used
35 of her beads, Lynn used
45 of hers and Gwen used
23 of hers. They had a total of 159 beads at first. How many beads did each girl use?
Make the numerators the same.
LCM of 3, 4 and 2 = 12
35 Xandra's beads =
45 Lynn's beads =
23 Gwen's beads
3x45x4 Xandra's beads =
4x35x3 Lynn's beads =
2x63x6 Gwen's beads
1220 Xandra's beads =
1215 Lynn's beads =
1218 Gwen's beads
| |
Xandra |
Lynn |
Gwen |
| Before |
20 u |
15 u |
18 u |
| Change |
- 12 u |
- 12 u |
- 12 u |
| After |
8 u |
3 u |
6 u |
Total number of beads at first
= 20 u + 15 u + 18 u
= 53 u
53 u = 159
1 u = 159 ÷ 53 = 3
Number of beads that each girl used
= 12 u
= 12 x 3
= 36
Answer(s): 36
