Three girls used the same number of crystals to make necklaces. Zoe used
35 of her crystals, Opal used
23 of hers and Yoko used
34 of hers. They had a total of 297 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 3, 2 and 3 = 6
35 Zoe's crystals =
23 Opal's crystals =
34 Yoko's crystals
3x25x2 Zoe's crystals =
2x33x3 Opal's crystals =
3x24x2 Yoko's crystals
610 Zoe's crystals =
69 Opal's crystals =
68 Yoko's crystals
|
Zoe |
Opal |
Yoko |
Before |
10 u |
9 u |
8 u |
Change |
- 6 u |
- 6 u |
- 6 u |
After |
4 u |
3 u |
2 u |
Total number of crystals at first
= 10 u + 9 u + 8 u
= 27 u
27 u = 297
1 u = 297 ÷ 27 = 11
Number of crystals that each girl used
= 6 u
= 6 x 11
= 66
Answer(s): 66