Three girls used the same number of pearls to make bracelets. Diana used
25 of her pearls, Rachel used
34 of hers and Raeann used
23 of hers. They had a total of 192 pearls at first. How many pearls did each girl use?
Make the numerators the same.
LCM of 2, 3 and 2 = 6
25 Diana's pearls =
34 Rachel's pearls =
23 Raeann's pearls
2x35x3 Diana's pearls =
3x24x2 Rachel's pearls =
2x33x3 Raeann's pearls
615 Diana's pearls =
68 Rachel's pearls =
69 Raeann's pearls
|
Diana |
Rachel |
Raeann |
Before |
15 u |
8 u |
9 u |
Change |
- 6 u |
- 6 u |
- 6 u |
After |
9 u |
2 u |
3 u |
Total number of pearls at first
= 15 u + 8 u + 9 u
= 32 u
32 u = 192
1 u = 192 ÷ 32 = 6
Number of pearls that each girl used
= 6 u
= 6 x 6
= 36
Answer(s): 36