Jean had 130 more buttons than Cathy. After Jean gave away
15 of her buttons and Cathy gave away
23 of her buttons, Cathy had 181 less buttons than Jean. How many buttons did Jean have at first?
| |
Jean |
Cathy |
Comparing Jean and
Cathy at first |
130 more |
|
| Before |
5x3 |
+ 130 |
3x5 |
| Change |
- 1x3 |
- 26 |
- 2x5 |
| After |
4x3 |
+ 104 |
1x5 |
Comparing Jean and
Cathy in the end |
|
181 less |
| |
Jean |
Cathy |
| Before |
15 u + 130 |
15 u |
| Change |
- 3 u - 26 |
- 10 u |
| After |
12 u + 104 |
5 u |
15 x 130 = 26
130 - 26 = 104
Cathy had 181 less buttons than Jean in the end. So, if Cathy had another 181 buttons in the end, the number of buttons that Cathy and Jean each had would be the same.
12 u + 104 = 5 u + 181
12 u - 5 u = 181 - 104
7 u = 77
1 u = 77 ÷ 7 = 11
Number of buttons that Jean had at first
= 15 u + 130
= 15 x 11 + 130
= 165 + 130
= 295
Answer(s): 295
