Mary had 145 more buttons than Sabrina. After Mary gave away
25 of her buttons and Sabrina gave away
23 of her buttons, Sabrina had 103 less buttons than Mary. How many buttons did Mary have in the end?
| |
Mary |
Sabrina |
Comparing Mary and
Sabrina in the end |
145 more |
|
| Before |
5x3 |
+ 145 |
3x5 |
| Change |
- 2x3 |
- 58 |
- 2x5 |
| After |
3x3 |
+ 87 |
1x5 |
Comparing Mary and
Sabrina in the end |
|
103 less |
| |
Mary |
Sabrina |
| Before |
15 u + 145 |
15 u |
| Change |
- 6 u - 58 |
- 10 u |
| After |
9 u + 87 |
5 u |
25 x 145 = 58
145 - 58 = 87
Sabrina had 103 less buttons than Mary in the end. So, if Sabrina had another 103 buttons in the end, the number of buttons that Sabrina and Mary each had would be the same.
9 u + 87 = 5 u + 103
9 u - 5 u = 103 - 87
4 u = 16
1 u = 16 ÷ 4 = 4
Number of buttons that Mary had in the end
= 9 u + 87
= 9 x 4 + 87
= 36 + 87
= 123
Answer(s): 123
