Kylie had 75 more buttons than Anna. After Kylie gave away
25 of her buttons and Anna gave away
34 of her buttons, Anna had 129 less buttons than Kylie. How many buttons did Kylie have in the end?
| |
Kylie |
Anna |
Comparing Kylie and
Anna in the end |
75 more |
|
| Before |
5x4 |
+ 75 |
4x5 |
| Change |
- 2x4 |
- 30 |
- 3x5 |
| After |
3x4 |
+ 45 |
1x5 |
Comparing Kylie and
Anna in the end |
|
129 less |
| |
Kylie |
Anna |
| Before |
20 u + 75 |
20 u |
| Change |
- 8 u - 30 |
- 15 u |
| After |
12 u + 45 |
5 u |
25 x 75 = 30
75 - 30 = 45
Anna had 129 less buttons than Kylie in the end. So, if Anna had another 129 buttons in the end, the number of buttons that Anna and Kylie each had would be the same.
12 u + 45 = 5 u + 129
12 u - 5 u = 129 - 45
7 u = 84
1 u = 84 ÷ 7 = 12
Number of buttons that Kylie had in the end
= 12 u + 45
= 12 x 12 + 45
= 144 + 45
= 189
Answer(s): 189
