Three girls used the same number of pearls to make necklaces. Diana used
35 of her pearls, Kimberly used
23 of hers and Elyse used
34 of hers. They had a total of 216 pearls at first. How many pearls did each girl use?
Make the numerators the same.
LCM of 3, 2 and 3 = 6
35 Diana's pearls =
23 Kimberly's pearls =
34 Elyse's pearls
3x25x2 Diana's pearls =
2x33x3 Kimberly's pearls =
3x24x2 Elyse's pearls
610 Diana's pearls =
69 Kimberly's pearls =
68 Elyse's pearls
| |
Diana |
Kimberly |
Elyse |
| 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 = 216
1 u = 216 ÷ 27 = 8
Number of pearls that each girl used
= 6 u
= 6 x 8
= 48
Answer(s): 48
