Three girls used the same number of buttons to make necklaces. Anna used
25 of her buttons, Betty used
34 of hers and Abi used
23 of hers. They had a total of 128 buttons at first. How many buttons did each girl use?
Make the numerators the same.
LCM of 2, 3 and 2 = 6
25 Anna's buttons =
34 Betty's buttons =
23 Abi's buttons
2x35x3 Anna's buttons =
3x24x2 Betty's buttons =
2x33x3 Abi's buttons
615 Anna's buttons =
68 Betty's buttons =
69 Abi's buttons
|
Anna |
Betty |
Abi |
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 = 128
1 u = 128 ÷ 32 = 4
Number of buttons that each girl used
= 6 u
= 6 x 4
= 24
Answer(s): 24