Three girls used the same number of pearls to make necklaces. Gwen used
25 of her pearls, Natalie used
34 of hers and Esther used
23 of hers. They had a total of 224 pearls at first. How many pearls did each girl use?
Make the numerators the same.
LCM of 2, 3 and 2 = 6
25 Gwen's pearls =
34 Natalie's pearls =
23 Esther's pearls
2x35x3 Gwen's pearls =
3x24x2 Natalie's pearls =
2x33x3 Esther's pearls
615 Gwen's pearls =
68 Natalie's pearls =
69 Esther's pearls
| |
Gwen |
Natalie |
Esther |
| 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 = 224
1 u = 224 ÷ 32 = 7
Number of pearls that each girl used
= 6 u
= 6 x 7
= 42
Answer(s): 42
