Three girls used the same number of buttons to make bracelets. Olivia used
35 of her buttons, Gwen used
25 of hers and Winnie used
23 of hers. They had a total of 68 buttons at first. How many buttons did each girl use?
Make the numerators the same.
LCM of 3, 2 and 2 = 6
35 Olivia's buttons =
25 Gwen's buttons =
23 Winnie's buttons
3x25x2 Olivia's buttons =
2x35x3 Gwen's buttons =
2x33x3 Winnie's buttons
610 Olivia's buttons =
615 Gwen's buttons =
69 Winnie's buttons
|
Olivia |
Gwen |
Winnie |
Before |
10 u |
15 u |
9 u |
Change |
- 6 u |
- 6 u |
- 6 u |
After |
4 u |
9 u |
3 u |
Total number of buttons at first
= 10 u + 15 u + 9 u
= 34 u
34 u = 68
1 u = 68 ÷ 34 = 2
Number of buttons that each girl used
= 6 u
= 6 x 2
= 12
Answer(s): 12