Anna had 115 more buttons than Diana. After Anna gave away
15 of her buttons and Diana gave away
34 of her buttons, Diana had 125 less buttons than Anna. How many buttons did Anna have at first?
| |
Anna |
Diana |
Comparing Anna and
Diana at first |
115 more |
|
| Before |
5x4 |
+ 115 |
4x5 |
| Change |
- 1x4 |
- 23 |
- 3x5 |
| After |
4x4 |
+ 92 |
1x5 |
Comparing Anna and
Diana in the end |
|
125 less |
| |
Anna |
Diana |
| Before |
20 u + 115 |
20 u |
| Change |
- 4 u - 23 |
- 15 u |
| After |
16 u + 92 |
5 u |
15 x 115 = 23
115 - 23 = 92
Diana had 125 less buttons than Anna in the end. So, if Diana had another 125 buttons in the end, the number of buttons that Diana and Anna each had would be the same.
16 u + 92 = 5 u + 125
16 u - 5 u = 125 - 92
11 u = 33
1 u = 33 ÷ 11 = 3
Number of buttons that Anna had at first
= 20 u + 115
= 20 x 3 + 115
= 60 + 115
= 175
Answer(s): 175
