Dana had 124 more buttons than Abi. After Dana gave away
14 of her buttons and Abi gave away
34 of her buttons, Abi had 99 less buttons than Dana. How many buttons did Dana have at first?
| |
Dana |
Abi |
Comparing Dana and
Abi at first |
124 more |
|
| Before |
4x1 |
+ 124 |
4x1 |
| Change |
- 1x1 |
- 31 |
- 3x1 |
| After |
3x1 |
+ 93 |
1x1 |
Comparing Dana and
Abi in the end |
|
99 less |
| |
Dana |
Abi |
| Before |
4 u + 124 |
4 u |
| Change |
- 1 u - 31 |
- 3 u |
| After |
3 u + 93 |
1 u |
14 x 124 = 31
124 - 31 = 93
Abi had 99 less buttons than Dana in the end. So, if Abi had another 99 buttons in the end, the number of buttons that Abi and Dana each had would be the same.
3 u + 93 = 1 u + 99
3 u - 1 u = 99 - 93
2 u = 6
1 u = 6 ÷ 2 = 3
Number of buttons that Dana had at first
= 4 u + 124
= 4 x 3 + 124
= 12 + 124
= 136
Answer(s): 136
