Three girls used the same number of crystals to make bracelets. Sarah used
35 of her crystals, Kimberly used
25 of hers and Gillian used
23 of hers. They had a total of 68 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 3, 2 and 2 = 6
35 Sarah's crystals =
25 Kimberly's crystals =
23 Gillian's crystals
3x25x2 Sarah's crystals =
2x35x3 Kimberly's crystals =
2x33x3 Gillian's crystals
610 Sarah's crystals =
615 Kimberly's crystals =
69 Gillian's crystals
|
Sarah |
Kimberly |
Gillian |
Before |
10 u |
15 u |
9 u |
Change |
- 6 u |
- 6 u |
- 6 u |
After |
4 u |
9 u |
3 u |
Total number of crystals at first
= 10 u + 15 u + 9 u
= 34 u
34 u = 68
1 u = 68 ÷ 34 = 2
Number of crystals that each girl used
= 6 u
= 6 x 2
= 12
Answer(s): 12