Tammy had 114 more buttons than Nora. After Tammy gave away
13 of her buttons and Nora gave away
35 of her buttons, Nora had 88 less buttons than Tammy. How many buttons did Tammy have in the end?
| |
Tammy |
Nora |
Comparing Tammy and
Nora in the end |
114 more |
|
| Before |
3x5 |
+ 114 |
5x3 |
| Change |
- 1x5 |
- 38 |
- 3x3 |
| After |
2x5 |
+ 76 |
2x3 |
Comparing Tammy and
Nora in the end |
|
88 less |
| |
Tammy |
Nora |
| Before |
15 u + 114 |
15 u |
| Change |
- 5 u - 38 |
- 9 u |
| After |
10 u + 76 |
6 u |
13 x 114 = 38
114 - 38 = 76
Nora had 88 less buttons than Tammy in the end. So, if Nora had another 88 buttons in the end, the number of buttons that Nora and Tammy each had would be the same.
10 u + 76 = 6 u + 88
10 u - 6 u = 88 - 76
4 u = 12
1 u = 12 ÷ 4 = 3
Number of buttons that Tammy had in the end
= 10 u + 76
= 10 x 3 + 76
= 30 + 76
= 106
Answer(s): 106
