Three girls used the same number of pearls to make bracelets. Xuan used
35 of her pearls, Betty used
25 of hers and Hilda used
23 of hers. They had a total of 170 pearls at first. How many pearls did each girl use?
Make the numerators the same.
LCM of 3, 2 and 2 = 6
35 Xuan's pearls =
25 Betty's pearls =
23 Hilda's pearls
3x25x2 Xuan's pearls =
2x35x3 Betty's pearls =
2x33x3 Hilda's pearls
610 Xuan's pearls =
615 Betty's pearls =
69 Hilda's pearls
| |
Xuan |
Betty |
Hilda |
| Before |
10 u |
15 u |
9 u |
| Change |
- 6 u |
- 6 u |
- 6 u |
| After |
4 u |
9 u |
3 u |
Total number of pearls at first
= 10 u + 15 u + 9 u
= 34 u
34 u = 170
1 u = 170 ÷ 34 = 5
Number of pearls that each girl used
= 6 u
= 6 x 5
= 30
Answer(s): 30
