Kylie had 84 more buttons than Jaslyn. After Kylie gave away
13 of her buttons and Jaslyn gave away
35 of her buttons, Jaslyn had 96 less buttons than Kylie. How many buttons did Kylie have at first?
| |
Kylie |
Jaslyn |
Comparing Kylie and
Jaslyn at first |
84 more |
|
| Before |
3x5 |
+ 84 |
5x3 |
| Change |
- 1x5 |
- 28 |
- 3x3 |
| After |
2x5 |
+ 56 |
2x3 |
Comparing Kylie and
Jaslyn in the end |
|
96 less |
| |
Kylie |
Jaslyn |
| Before |
15 u + 84 |
15 u |
| Change |
- 5 u - 28 |
- 9 u |
| After |
10 u + 56 |
6 u |
13 x 84 = 28
84 - 28 = 56
Jaslyn had 96 less buttons than Kylie in the end. So, if Jaslyn had another 96 buttons in the end, the number of buttons that Jaslyn and Kylie each had would be the same.
10 u + 56 = 6 u + 96
10 u - 6 u = 96 - 56
4 u = 40
1 u = 40 ÷ 4 = 10
Number of buttons that Kylie had at first
= 15 u + 84
= 15 x 10 + 84
= 150 + 84
= 234
Answer(s): 234
