Three girls used the same number of pearls to make necklaces. Shiyun used
35 of her pearls, Jaslyn used
45 of hers and Xylia used
23 of hers. They had a total of 318 pearls at first. How many pearls did each girl use?
Make the numerators the same.
LCM of 3, 4 and 2 = 12
35 Shiyun's pearls =
45 Jaslyn's pearls =
23 Xylia's pearls
3x45x4 Shiyun's pearls =
4x35x3 Jaslyn's pearls =
2x63x6 Xylia's pearls
1220 Shiyun's pearls =
1215 Jaslyn's pearls =
1218 Xylia's pearls
| |
Shiyun |
Jaslyn |
Xylia |
| Before |
20 u |
15 u |
18 u |
| Change |
- 12 u |
- 12 u |
- 12 u |
| After |
8 u |
3 u |
6 u |
Total number of pearls at first
= 20 u + 15 u + 18 u
= 53 u
53 u = 318
1 u = 318 ÷ 53 = 6
Number of pearls that each girl used
= 12 u
= 12 x 6
= 72
Answer(s): 72
