Usha had 90 more buttons than Sabrina. After Usha gave away
15 of her buttons and Sabrina gave away
35 of her buttons, Sabrina had 90 less buttons than Usha. How many buttons did Usha have in the end?
| |
Usha |
Sabrina |
Comparing Usha and
Sabrina in the end |
90 more |
|
| Before |
5x1 |
+ 90 |
5x1 |
| Change |
- 1x1 |
- 18 |
- 3x1 |
| After |
4x1 |
+ 72 |
2x1 |
Comparing Usha and
Sabrina in the end |
|
90 less |
| |
Usha |
Sabrina |
| Before |
5 u + 90 |
5 u |
| Change |
- 1 u - 18 |
- 3 u |
| After |
4 u + 72 |
2 u |
15 x 90 = 18
90 - 18 = 72
Sabrina had 90 less buttons than Usha in the end. So, if Sabrina had another 90 buttons in the end, the number of buttons that Sabrina and Usha each had would be the same.
4 u + 72 = 2 u + 90
4 u - 2 u = 90 - 72
2 u = 18
1 u = 18 ÷ 2 = 9
Number of buttons that Usha had in the end
= 4 u + 72
= 4 x 9 + 72
= 36 + 72
= 108
Answer(s): 108
