Yen had 147 more buttons than Victoria. After Yen gave away
13 of her buttons and Victoria gave away
34 of her buttons, Victoria had 128 less buttons than Yen. How many buttons did Yen have in the end?
| |
Yen |
Victoria |
Comparing Yen and
Victoria in the end |
147 more |
|
| Before |
3x4 |
+ 147 |
4x3 |
| Change |
- 1x4 |
- 49 |
- 3x3 |
| After |
2x4 |
+ 98 |
1x3 |
Comparing Yen and
Victoria in the end |
|
128 less |
| |
Yen |
Victoria |
| Before |
12 u + 147 |
12 u |
| Change |
- 4 u - 49 |
- 9 u |
| After |
8 u + 98 |
3 u |
13 x 147 = 49
147 - 49 = 98
Victoria had 128 less buttons than Yen in the end. So, if Victoria had another 128 buttons in the end, the number of buttons that Victoria and Yen each had would be the same.
8 u + 98 = 3 u + 128
8 u - 3 u = 128 - 98
5 u = 30
1 u = 30 ÷ 5 = 6
Number of buttons that Yen had in the end
= 8 u + 98
= 8 x 6 + 98
= 48 + 98
= 146
Answer(s): 146
