Three girls used the same number of crystals to make bracelets. Sarah used
35 of her crystals, Mary used
23 of hers and Risa used
34 of hers. They had a total of 54 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 3, 2 and 3 = 6
35 Sarah's crystals =
23 Mary's crystals =
34 Risa's crystals
3x25x2 Sarah's crystals =
2x33x3 Mary's crystals =
3x24x2 Risa's crystals
610 Sarah's crystals =
69 Mary's crystals =
68 Risa's crystals
| |
Sarah |
Mary |
Risa |
| 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 = 54
1 u = 54 ÷ 27 = 2
Number of crystals that each girl used
= 6 u
= 6 x 2
= 12
Answer(s): 12
