Three girls used the same number of buttons to make bracelets. Betty used
35 of her buttons, Shannon used
23 of hers and Mary used
34 of hers. They had a total of 189 buttons at first. How many buttons did each girl use?
Make the numerators the same.
LCM of 3, 2 and 3 = 6
35 Betty's buttons =
23 Shannon's buttons =
34 Mary's buttons
3x25x2 Betty's buttons =
2x33x3 Shannon's buttons =
3x24x2 Mary's buttons
610 Betty's buttons =
69 Shannon's buttons =
68 Mary's buttons
| |
Betty |
Shannon |
Mary |
| 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 = 189
1 u = 189 ÷ 27 = 7
Number of buttons that each girl used
= 6 u
= 6 x 7
= 42
Answer(s): 42
