Risa had 128 more buttons than Tammy. After Risa gave away
14 of her buttons and Tammy gave away
35 of her buttons, Tammy had 110 less buttons than Risa. How many buttons did Risa have in the end?
| |
Risa |
Tammy |
Comparing Risa and
Tammy in the end |
128 more |
|
| Before |
4x5 |
+ 128 |
5x4 |
| Change |
- 1x5 |
- 32 |
- 3x4 |
| After |
3x5 |
+ 96 |
2x4 |
Comparing Risa and
Tammy in the end |
|
110 less |
| |
Risa |
Tammy |
| Before |
20 u + 128 |
20 u |
| Change |
- 5 u - 32 |
- 12 u |
| After |
15 u + 96 |
8 u |
14 x 128 = 32
128 - 32 = 96
Tammy had 110 less buttons than Risa in the end. So, if Tammy had another 110 buttons in the end, the number of buttons that Tammy and Risa each had would be the same.
15 u + 96 = 8 u + 110
15 u - 8 u = 110 - 96
7 u = 14
1 u = 14 ÷ 7 = 2
Number of buttons that Risa had in the end
= 15 u + 96
= 15 x 2 + 96
= 30 + 96
= 126
Answer(s): 126
