Three girls used the same number of crystals to make necklaces. Gwen used
25 of her crystals, Roshel used
34 of hers and Dana used
23 of hers. They had a total of 224 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 2, 3 and 2 = 6
25 Gwen's crystals =
34 Roshel's crystals =
23 Dana's crystals
2x35x3 Gwen's crystals =
3x24x2 Roshel's crystals =
2x33x3 Dana's crystals
615 Gwen's crystals =
68 Roshel's crystals =
69 Dana's crystals
| |
Gwen |
Roshel |
Dana |
| Before |
15 u |
8 u |
9 u |
| Change |
- 6 u |
- 6 u |
- 6 u |
| After |
9 u |
2 u |
3 u |
Total number of crystals at first
= 15 u + 8 u + 9 u
= 32 u
32 u = 224
1 u = 224 ÷ 32 = 7
Number of crystals that each girl used
= 6 u
= 6 x 7
= 42
Answer(s): 42
