Erika had 40 more buttons than Jaslyn. After Erika gave away
35 of her buttons and Jaslyn gave away
34 of her buttons, Jaslyn had 22 less buttons than Erika. How many buttons did Erika have at first?
| |
Erika |
Jaslyn |
Comparing Erika and
Jaslyn at first |
40 more |
|
| Before |
5x4 |
+ 40 |
4x5 |
| Change |
- 3x4 |
- 24 |
- 3x5 |
| After |
2x4 |
+ 16 |
1x5 |
Comparing Erika and
Jaslyn in the end |
|
22 less |
| |
Erika |
Jaslyn |
| Before |
20 u + 40 |
20 u |
| Change |
- 12 u - 24 |
- 15 u |
| After |
8 u + 16 |
5 u |
35 x 40 = 24
40 - 24 = 16
Jaslyn had 22 less buttons than Erika in the end. So, if Jaslyn had another 22 buttons in the end, the number of buttons that Jaslyn and Erika each had would be the same.
8 u + 16 = 5 u + 22
8 u - 5 u = 22 - 16
3 u = 6
1 u = 6 ÷ 3 = 2
Number of buttons that Erika had at first
= 20 u + 40
= 20 x 2 + 40
= 40 + 40
= 80
Answer(s): 80
