Cindy had 115 more buttons than Opal. After Cindy gave away
15 of her buttons and Opal gave away
13 of her buttons, Opal had 116 less buttons than Cindy. How many buttons did Cindy have in the end?
| |
Cindy |
Opal |
Comparing Cindy and
Opal in the end |
115 more |
|
| Before |
5x3 |
+ 115 |
3x5 |
| Change |
- 1x3 |
- 23 |
- 1x5 |
| After |
4x3 |
+ 92 |
2x5 |
Comparing Cindy and
Opal in the end |
|
116 less |
| |
Cindy |
Opal |
| Before |
15 u + 115 |
15 u |
| Change |
- 3 u - 23 |
- 5 u |
| After |
12 u + 92 |
10 u |
15 x 115 = 23
115 - 23 = 92
Opal had 116 less buttons than Cindy in the end. So, if Opal had another 116 buttons in the end, the number of buttons that Opal and Cindy each had would be the same.
12 u + 92 = 10 u + 116
12 u - 10 u = 116 - 92
2 u = 24
1 u = 24 ÷ 2 = 12
Number of buttons that Cindy had in the end
= 12 u + 92
= 12 x 12 + 92
= 144 + 92
= 236
Answer(s): 236
