Zoe had 80 more buttons than Lynn. After Zoe gave away
25 of her buttons and Lynn gave away
34 of her buttons, Lynn had 132 less buttons than Zoe. How many buttons did Zoe have at first?
| |
Zoe |
Lynn |
Comparing Zoe and
Lynn at first |
80 more |
|
| Before |
5x4 |
+ 80 |
4x5 |
| Change |
- 2x4 |
- 32 |
- 3x5 |
| After |
3x4 |
+ 48 |
1x5 |
Comparing Zoe and
Lynn in the end |
|
132 less |
| |
Zoe |
Lynn |
| Before |
20 u + 80 |
20 u |
| Change |
- 8 u - 32 |
- 15 u |
| After |
12 u + 48 |
5 u |
25 x 80 = 32
80 - 32 = 48
Lynn had 132 less buttons than Zoe in the end. So, if Lynn had another 132 buttons in the end, the number of buttons that Lynn and Zoe each had would be the same.
12 u + 48 = 5 u + 132
12 u - 5 u = 132 - 48
7 u = 84
1 u = 84 ÷ 7 = 12
Number of buttons that Zoe had at first
= 20 u + 80
= 20 x 12 + 80
= 240 + 80
= 320
Answer(s): 320
