Elyse had 115 more buttons than Lynn. After Elyse gave away
15 of her buttons and Lynn gave away
34 of her buttons, Lynn had 114 less buttons than Elyse. How many buttons did Elyse have at first?
| |
Elyse |
Lynn |
Comparing Elyse and
Lynn at first |
115 more |
|
| Before |
5x4 |
+ 115 |
4x5 |
| Change |
- 1x4 |
- 23 |
- 3x5 |
| After |
4x4 |
+ 92 |
1x5 |
Comparing Elyse and
Lynn in the end |
|
114 less |
| |
Elyse |
Lynn |
| Before |
20 u + 115 |
20 u |
| Change |
- 4 u - 23 |
- 15 u |
| After |
16 u + 92 |
5 u |
15 x 115 = 23
115 - 23 = 92
Lynn had 114 less buttons than Elyse in the end. So, if Lynn had another 114 buttons in the end, the number of buttons that Lynn and Elyse each had would be the same.
16 u + 92 = 5 u + 114
16 u - 5 u = 114 - 92
11 u = 22
1 u = 22 ÷ 11 = 2
Number of buttons that Elyse had at first
= 20 u + 115
= 20 x 2 + 115
= 40 + 115
= 155
Answer(s): 155
