Nora had 45 more buttons than Victoria. After Nora gave away
35 of her buttons and Victoria gave away
34 of her buttons, Victoria had 54 less buttons than Nora. How many buttons did Nora have at first?
| |
Nora |
Victoria |
Comparing Nora and
Victoria at first |
45 more |
|
| Before |
5x4 |
+ 45 |
4x5 |
| Change |
- 3x4 |
- 27 |
- 3x5 |
| After |
2x4 |
+ 18 |
1x5 |
Comparing Nora and
Victoria in the end |
|
54 less |
| |
Nora |
Victoria |
| Before |
20 u + 45 |
20 u |
| Change |
- 12 u - 27 |
- 15 u |
| After |
8 u + 18 |
5 u |
35 x 45 = 27
45 - 27 = 18
Victoria had 54 less buttons than Nora in the end. So, if Victoria had another 54 buttons in the end, the number of buttons that Victoria and Nora each had would be the same.
8 u + 18 = 5 u + 54
8 u - 5 u = 54 - 18
3 u = 36
1 u = 36 ÷ 3 = 12
Number of buttons that Nora had at first
= 20 u + 45
= 20 x 12 + 45
= 240 + 45
= 285
Answer(s): 285
