Three girls used the same number of crystals to make bracelets. Hilda used
35 of her crystals, Abi used
25 of hers and Olivia used
23 of hers. They had a total of 204 crystals at first. How many crystals did each girl use?
Make the numerators the same.
LCM of 3, 2 and 2 = 6
35 Hilda's crystals =
25 Abi's crystals =
23 Olivia's crystals
3x25x2 Hilda's crystals =
2x35x3 Abi's crystals =
2x33x3 Olivia's crystals
610 Hilda's crystals =
615 Abi's crystals =
69 Olivia's crystals
|
Hilda |
Abi |
Olivia |
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 = 204
1 u = 204 ÷ 34 = 6
Number of crystals that each girl used
= 6 u
= 6 x 6
= 36
Answer(s): 36