Three girls used the same number of seashells to make bracelets. Roshel used
35 of her seashells, Cathy used
45 of hers and Gillian used
23 of hers. They had a total of 318 seashells at first. How many seashells did each girl use?
Make the numerators the same.
LCM of 3, 4 and 2 = 12
35 Roshel's seashells =
45 Cathy's seashells =
23 Gillian's seashells
3x45x4 Roshel's seashells =
4x35x3 Cathy's seashells =
2x63x6 Gillian's seashells
1220 Roshel's seashells =
1215 Cathy's seashells =
1218 Gillian's seashells
|
Roshel |
Cathy |
Gillian |
Before |
20 u |
15 u |
18 u |
Change |
- 12 u |
- 12 u |
- 12 u |
After |
8 u |
3 u |
6 u |
Total number of seashells at first
= 20 u + 15 u + 18 u
= 53 u
53 u = 318
1 u = 318 ÷ 53 = 6
Number of seashells that each girl used
= 12 u
= 12 x 6
= 72
Answer(s): 72