Mary had 145 more buttons than Cindy. After Mary gave away
15 of her buttons and Cindy gave away
13 of her buttons, Cindy had 122 less buttons than Mary. How many buttons did Mary have in the end?
| |
Mary |
Cindy |
Comparing Mary and
Cindy in the end |
145 more |
|
| Before |
5x3 |
+ 145 |
3x5 |
| Change |
- 1x3 |
- 29 |
- 1x5 |
| After |
4x3 |
+ 116 |
2x5 |
Comparing Mary and
Cindy in the end |
|
122 less |
| |
Mary |
Cindy |
| Before |
15 u + 145 |
15 u |
| Change |
- 3 u - 29 |
- 5 u |
| After |
12 u + 116 |
10 u |
15 x 145 = 29
145 - 29 = 116
Cindy had 122 less buttons than Mary in the end. So, if Cindy had another 122 buttons in the end, the number of buttons that Cindy and Mary each had would be the same.
12 u + 116 = 10 u + 122
12 u - 10 u = 122 - 116
2 u = 6
1 u = 6 ÷ 2 = 3
Number of buttons that Mary had in the end
= 12 u + 116
= 12 x 3 + 116
= 36 + 116
= 152
Answer(s): 152
