Tina had 96 more buttons than Shannon. After Tina gave away
14 of her buttons and Shannon gave away
34 of her buttons, Shannon had 92 less buttons than Tina. How many buttons did Tina have at first?
| |
Tina |
Shannon |
Comparing Tina and
Shannon at first |
96 more |
|
| Before |
4x1 |
+ 96 |
4x1 |
| Change |
- 1x1 |
- 24 |
- 3x1 |
| After |
3x1 |
+ 72 |
1x1 |
Comparing Tina and
Shannon in the end |
|
92 less |
| |
Tina |
Shannon |
| Before |
4 u + 96 |
4 u |
| Change |
- 1 u - 24 |
- 3 u |
| After |
3 u + 72 |
1 u |
14 x 96 = 24
96 - 24 = 72
Shannon had 92 less buttons than Tina in the end. So, if Shannon had another 92 buttons in the end, the number of buttons that Shannon and Tina each had would be the same.
3 u + 72 = 1 u + 92
3 u - 1 u = 92 - 72
2 u = 20
1 u = 20 ÷ 2 = 10
Number of buttons that Tina had at first
= 4 u + 96
= 4 x 10 + 96
= 40 + 96
= 136
Answer(s): 136
