Jaslyn had 44 more buttons than Julie. After Jaslyn gave away
14 of her buttons and Julie gave away
25 of her buttons, Julie had 45 less buttons than Jaslyn. How many buttons did Jaslyn have at first?
| |
Jaslyn |
Julie |
Comparing Jaslyn and
Julie at first |
44 more |
|
| Before |
4x5 |
+ 44 |
5x4 |
| Change |
- 1x5 |
- 11 |
- 2x4 |
| After |
3x5 |
+ 33 |
3x4 |
Comparing Jaslyn and
Julie in the end |
|
45 less |
| |
Jaslyn |
Julie |
| Before |
20 u + 44 |
20 u |
| Change |
- 5 u - 11 |
- 8 u |
| After |
15 u + 33 |
12 u |
14 x 44 = 11
44 - 11 = 33
Julie had 45 less buttons than Jaslyn in the end. So, if Julie had another 45 buttons in the end, the number of buttons that Julie and Jaslyn each had would be the same.
15 u + 33 = 12 u + 45
15 u - 12 u = 45 - 33
3 u = 12
1 u = 12 ÷ 3 = 4
Number of buttons that Jaslyn had at first
= 20 u + 44
= 20 x 4 + 44
= 80 + 44
= 124
Answer(s): 124
