Cindy had 72 more buttons than Cathy. After Cindy gave away
13 of her buttons and Cathy gave away
34 of her buttons, Cathy had 93 less buttons than Cindy. How many buttons did Cindy have in the end?
| |
Cindy |
Cathy |
Comparing Cindy and
Cathy in the end |
72 more |
|
| Before |
3x4 |
+ 72 |
4x3 |
| Change |
- 1x4 |
- 24 |
- 3x3 |
| After |
2x4 |
+ 48 |
1x3 |
Comparing Cindy and
Cathy in the end |
|
93 less |
| |
Cindy |
Cathy |
| Before |
12 u + 72 |
12 u |
| Change |
- 4 u - 24 |
- 9 u |
| After |
8 u + 48 |
3 u |
13 x 72 = 24
72 - 24 = 48
Cathy had 93 less buttons than Cindy in the end. So, if Cathy had another 93 buttons in the end, the number of buttons that Cathy and Cindy each had would be the same.
8 u + 48 = 3 u + 93
8 u - 3 u = 93 - 48
5 u = 45
1 u = 45 ÷ 5 = 9
Number of buttons that Cindy had in the end
= 8 u + 48
= 8 x 9 + 48
= 72 + 48
= 120
Answer(s): 120
