Victoria had 144 more buttons than Elyse. After Victoria gave away
14 of her buttons and Elyse gave away
23 of her buttons, Elyse had 138 less buttons than Victoria. How many buttons did Victoria have in the end?
| |
Victoria |
Elyse |
Comparing Victoria and
Elyse in the end |
144 more |
|
| Before |
4x3 |
+ 144 |
3x4 |
| Change |
- 1x3 |
- 36 |
- 2x4 |
| After |
3x3 |
+ 108 |
1x4 |
Comparing Victoria and
Elyse in the end |
|
138 less |
| |
Victoria |
Elyse |
| Before |
12 u + 144 |
12 u |
| Change |
- 3 u - 36 |
- 8 u |
| After |
9 u + 108 |
4 u |
14 x 144 = 36
144 - 36 = 108
Elyse had 138 less buttons than Victoria in the end. So, if Elyse had another 138 buttons in the end, the number of buttons that Elyse and Victoria each had would be the same.
9 u + 108 = 4 u + 138
9 u - 4 u = 138 - 108
5 u = 30
1 u = 30 ÷ 5 = 6
Number of buttons that Victoria had in the end
= 9 u + 108
= 9 x 6 + 108
= 54 + 108
= 162
Answer(s): 162
