Three girls used the same number of buttons to make bracelets. Cindy used
25 of her buttons, Kathy used
34 of hers and Jean used
23 of hers. They had a total of 320 buttons at first. How many buttons did each girl use?
Make the numerators the same.
LCM of 2, 3 and 2 = 6
25 Cindy's buttons =
34 Kathy's buttons =
23 Jean's buttons
2x35x3 Cindy's buttons =
3x24x2 Kathy's buttons =
2x33x3 Jean's buttons
615 Cindy's buttons =
68 Kathy's buttons =
69 Jean's buttons
|
Cindy |
Kathy |
Jean |
Before |
15 u |
8 u |
9 u |
Change |
- 6 u |
- 6 u |
- 6 u |
After |
9 u |
2 u |
3 u |
Total number of buttons at first
= 15 u + 8 u + 9 u
= 32 u
32 u = 320
1 u = 320 ÷ 32 = 10
Number of buttons that each girl used
= 6 u
= 6 x 10
= 60
Answer(s): 60