Three girls used the same number of pearls to make bracelets. Xuan used
35 of her pearls, Gillian used
23 of hers and Ivory used
34 of hers. They had a total of 297 pearls at first. How many pearls did each girl use?
Make the numerators the same.
LCM of 3, 2 and 3 = 6
35 Xuan's pearls =
23 Gillian's pearls =
34 Ivory's pearls
3x25x2 Xuan's pearls =
2x33x3 Gillian's pearls =
3x24x2 Ivory's pearls
610 Xuan's pearls =
69 Gillian's pearls =
68 Ivory's pearls
| |
Xuan |
Gillian |
Ivory |
| Before |
10 u |
9 u |
8 u |
| Change |
- 6 u |
- 6 u |
- 6 u |
| After |
4 u |
3 u |
2 u |
Total number of pearls at first
= 10 u + 9 u + 8 u
= 27 u
27 u = 297
1 u = 297 ÷ 27 = 11
Number of pearls that each girl used
= 6 u
= 6 x 11
= 66
Answer(s): 66
