Three girls used the same number of crystals to make bracelets. Gillian used
25 of her crystals, Lynn used
34 of hers and Vanessa used
23 of hers. They had a total of 288 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 2, 3 and 2 = 6
25 Gillian's crystals =
34 Lynn's crystals =
23 Vanessa's crystals
2x35x3 Gillian's crystals =
3x24x2 Lynn's crystals =
2x33x3 Vanessa's crystals
615 Gillian's crystals =
68 Lynn's crystals =
69 Vanessa's crystals
| |
Gillian |
Lynn |
Vanessa |
| 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 = 288
1 u = 288 ÷ 32 = 9
Number of crystals that each girl used
= 6 u
= 6 x 9
= 54
Answer(s): 54
