Esther had 80 more buttons than Wendy. After Esther gave away
35 of her buttons and Wendy gave away
34 of her buttons, Wendy had 38 less buttons than Esther. How many buttons did Esther have in the end?
| |
Esther |
Wendy |
Comparing Esther and
Wendy in the end |
80 more |
|
| Before |
5x4 |
+ 80 |
4x5 |
| Change |
- 3x4 |
- 48 |
- 3x5 |
| After |
2x4 |
+ 32 |
1x5 |
Comparing Esther and
Wendy in the end |
|
38 less |
| |
Esther |
Wendy |
| 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
Wendy had 38 less buttons than Esther in the end. So, if Wendy had another 38 buttons in the end, the number of buttons that Wendy and Esther each had would be the same.
8 u + 32 = 5 u + 38
8 u - 5 u = 38 - 32
3 u = 6
1 u = 6 ÷ 3 = 2
Number of buttons that Esther had in the end
= 8 u + 32
= 8 x 2 + 32
= 16 + 32
= 48
Answer(s): 48
