Three girls used the same number of buttons to make bracelets. Pamela used
35 of her buttons, Esther used
23 of hers and Emily used
34 of hers. They had a total of 324 buttons at first. How many buttons did each girl use?
Make the numerators the same.
LCM of 3, 2 and 3 = 6
35 Pamela's buttons =
23 Esther's buttons =
34 Emily's buttons
3x25x2 Pamela's buttons =
2x33x3 Esther's buttons =
3x24x2 Emily's buttons
610 Pamela's buttons =
69 Esther's buttons =
68 Emily's buttons
| |
Pamela |
Esther |
Emily |
| Before |
10 u |
9 u |
8 u |
| Change |
- 6 u |
- 6 u |
- 6 u |
| After |
4 u |
3 u |
2 u |
Total number of buttons at first
= 10 u + 9 u + 8 u
= 27 u
27 u = 324
1 u = 324 ÷ 27 = 12
Number of buttons that each girl used
= 6 u
= 6 x 12
= 72
Answer(s): 72
