Three girls used the same number of small pebbles to make necklaces. Eva used
35 of her small pebbles, Tiffany used
45 of hers and Esther used
23 of hers. They had a total of 106 small pebbles at first. How many small pebbles did each girl use?
Make the numerators the same.
LCM of 3, 4 and 2 = 12
35 Eva's small pebbles =
45 Tiffany's small pebbles =
23 Esther's small pebbles
3x45x4 Eva's small pebbles =
4x35x3 Tiffany's small pebbles =
2x63x6 Esther's small pebbles
1220 Eva's small pebbles =
1215 Tiffany's small pebbles =
1218 Esther's small pebbles
|
Eva |
Tiffany |
Esther |
Before |
20 u |
15 u |
18 u |
Change |
- 12 u |
- 12 u |
- 12 u |
After |
8 u |
3 u |
6 u |
Total number of small pebbles at first
= 20 u + 15 u + 18 u
= 53 u
53 u = 106
1 u = 106 ÷ 53 = 2
Number of small pebbles that each girl used
= 12 u
= 12 x 2
= 24
Answer(s): 24