Kylie had 75 more buttons than Kathy. After Kylie gave away
15 of her buttons and Kathy gave away
23 of her buttons, Kathy had 109 less buttons than Kylie. How many buttons did Kylie have at first?
| |
Kylie |
Kathy |
Comparing Kylie and
Kathy at first |
75 more |
|
| Before |
5x3 |
+ 75 |
3x5 |
| Change |
- 1x3 |
- 15 |
- 2x5 |
| After |
4x3 |
+ 60 |
1x5 |
Comparing Kylie and
Kathy in the end |
|
109 less |
| |
Kylie |
Kathy |
| Before |
15 u + 75 |
15 u |
| Change |
- 3 u - 15 |
- 10 u |
| After |
12 u + 60 |
5 u |
15 x 75 = 15
75 - 15 = 60
Kathy had 109 less buttons than Kylie in the end. So, if Kathy had another 109 buttons in the end, the number of buttons that Kathy and Kylie each had would be the same.
12 u + 60 = 5 u + 109
12 u - 5 u = 109 - 60
7 u = 49
1 u = 49 ÷ 7 = 7
Number of buttons that Kylie had at first
= 15 u + 75
= 15 x 7 + 75
= 105 + 75
= 180
Answer(s): 180
