Wendy had 80 more buttons than Jade. After Wendy gave away
35 of her buttons and Jade gave away
34 of her buttons, Jade had 59 less buttons than Wendy. How many buttons did Wendy have at first?
| |
Wendy |
Jade |
Comparing Wendy and
Jade at first |
80 more |
|
| Before |
5x4 |
+ 80 |
4x5 |
| Change |
- 3x4 |
- 48 |
- 3x5 |
| After |
2x4 |
+ 32 |
1x5 |
Comparing Wendy and
Jade in the end |
|
59 less |
| |
Wendy |
Jade |
| Before |
20 u + 80 |
20 u |
| Change |
- 12 u - 48 |
- 15 u |
| After |
8 u + 32 |
5 u |
35 x 80 = 48
80 - 48 = 32
Jade had 59 less buttons than Wendy in the end. So, if Jade had another 59 buttons in the end, the number of buttons that Jade and Wendy each had would be the same.
8 u + 32 = 5 u + 59
8 u - 5 u = 59 - 32
3 u = 27
1 u = 27 ÷ 3 = 9
Number of buttons that Wendy had at first
= 20 u + 80
= 20 x 9 + 80
= 180 + 80
= 260
Answer(s): 260
