Three girls used the same number of crystals to make bracelets. Barbara used
25 of her crystals, Shiyun used
34 of hers and Yoko used
23 of hers. They had a total of 128 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 2, 3 and 2 = 6
25 Barbara's crystals =
34 Shiyun's crystals =
23 Yoko's crystals
2x35x3 Barbara's crystals =
3x24x2 Shiyun's crystals =
2x33x3 Yoko's crystals
615 Barbara's crystals =
68 Shiyun's crystals =
69 Yoko's crystals
| |
Barbara |
Shiyun |
Yoko |
| 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 = 128
1 u = 128 ÷ 32 = 4
Number of crystals that each girl used
= 6 u
= 6 x 4
= 24
Answer(s): 24
