Three girls used the same number of crystals to make bracelets. Olivia used
35 of her crystals, Betty used
45 of hers and Erika used
23 of hers. They had a total of 265 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 3, 4 and 2 = 12
35 Olivia's crystals =
45 Betty's crystals =
23 Erika's crystals
3x45x4 Olivia's crystals =
4x35x3 Betty's crystals =
2x63x6 Erika's crystals
1220 Olivia's crystals =
1215 Betty's crystals =
1218 Erika's crystals
| |
Olivia |
Betty |
Erika |
| 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 = 265
1 u = 265 ÷ 53 = 5
Number of crystals that each girl used
= 12 u
= 12 x 5
= 60
Answer(s): 60
