Yoko had 72 more buttons than Ivory. After Yoko gave away
13 of her buttons and Ivory gave away
35 of her buttons, Ivory had 92 less buttons than Yoko. How many buttons did Yoko have in the end?
| |
Yoko |
Ivory |
Comparing Yoko and
Ivory in the end |
72 more |
|
| Before |
3x5 |
+ 72 |
5x3 |
| Change |
- 1x5 |
- 24 |
- 3x3 |
| After |
2x5 |
+ 48 |
2x3 |
Comparing Yoko and
Ivory in the end |
|
92 less |
| |
Yoko |
Ivory |
| Before |
15 u + 72 |
15 u |
| Change |
- 5 u - 24 |
- 9 u |
| After |
10 u + 48 |
6 u |
13 x 72 = 24
72 - 24 = 48
Ivory had 92 less buttons than Yoko in the end. So, if Ivory had another 92 buttons in the end, the number of buttons that Ivory and Yoko each had would be the same.
10 u + 48 = 6 u + 92
10 u - 6 u = 92 - 48
4 u = 44
1 u = 44 ÷ 4 = 11
Number of buttons that Yoko had in the end
= 10 u + 48
= 10 x 11 + 48
= 110 + 48
= 158
Answer(s): 158
