Esther had 84 more buttons than Yoko. After Esther gave away
13 of her buttons and Yoko gave away
34 of her buttons, Yoko had 86 less buttons than Esther. How many buttons did Esther have at first?
| |
Esther |
Yoko |
Comparing Esther and
Yoko at first |
84 more |
|
| Before |
3x4 |
+ 84 |
4x3 |
| Change |
- 1x4 |
- 28 |
- 3x3 |
| After |
2x4 |
+ 56 |
1x3 |
Comparing Esther and
Yoko in the end |
|
86 less |
| |
Esther |
Yoko |
| Before |
12 u + 84 |
12 u |
| Change |
- 4 u - 28 |
- 9 u |
| After |
8 u + 56 |
3 u |
13 x 84 = 28
84 - 28 = 56
Yoko had 86 less buttons than Esther in the end. So, if Yoko had another 86 buttons in the end, the number of buttons that Yoko and Esther each had would be the same.
8 u + 56 = 3 u + 86
8 u - 3 u = 86 - 56
5 u = 30
1 u = 30 ÷ 5 = 6
Number of buttons that Esther had at first
= 12 u + 84
= 12 x 6 + 84
= 72 + 84
= 156
Answer(s): 156
