Three girls used the same number of crystals to make bracelets. Roshel used
35 of her crystals, Min used
45 of hers and Olivia used
23 of hers. They had a total of 583 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 3, 4 and 2 = 12
35 Roshel's crystals =
45 Min's crystals =
23 Olivia's crystals
3x45x4 Roshel's crystals =
4x35x3 Min's crystals =
2x63x6 Olivia's crystals
1220 Roshel's crystals =
1215 Min's crystals =
1218 Olivia's crystals
|
Roshel |
Min |
Olivia |
Before |
20 u |
15 u |
18 u |
Change |
- 12 u |
- 12 u |
- 12 u |
After |
8 u |
3 u |
6 u |
Total number of crystals at first
= 20 u + 15 u + 18 u
= 53 u
53 u = 583
1 u = 583 ÷ 53 = 11
Number of crystals that each girl used
= 12 u
= 12 x 11
= 132
Answer(s): 132