Gabby had 50 more buttons than Kylie. After Gabby gave away
25 of her buttons and Kylie gave away
34 of her buttons, Kylie had 44 less buttons than Gabby. How many buttons did Gabby have at first?
| |
Gabby |
Kylie |
Comparing Gabby and
Kylie at first |
50 more |
|
| Before |
5x4 |
+ 50 |
4x5 |
| Change |
- 2x4 |
- 20 |
- 3x5 |
| After |
3x4 |
+ 30 |
1x5 |
Comparing Gabby and
Kylie in the end |
|
44 less |
| |
Gabby |
Kylie |
| Before |
20 u + 50 |
20 u |
| Change |
- 8 u - 20 |
- 15 u |
| After |
12 u + 30 |
5 u |
25 x 50 = 20
50 - 20 = 30
Kylie had 44 less buttons than Gabby in the end. So, if Kylie had another 44 buttons in the end, the number of buttons that Kylie and Gabby each had would be the same.
12 u + 30 = 5 u + 44
12 u - 5 u = 44 - 30
7 u = 14
1 u = 14 ÷ 7 = 2
Number of buttons that Gabby had at first
= 20 u + 50
= 20 x 2 + 50
= 40 + 50
= 90
Answer(s): 90
