Fanny had 140 more buttons than Tina. After Fanny gave away
15 of her buttons and Tina gave away
34 of her buttons, Tina had 233 less buttons than Fanny. How many buttons did Fanny have in the end?
| |
Fanny |
Tina |
Comparing Fanny and
Tina in the end |
140 more |
|
| Before |
5x4 |
+ 140 |
4x5 |
| Change |
- 1x4 |
- 28 |
- 3x5 |
| After |
4x4 |
+ 112 |
1x5 |
Comparing Fanny and
Tina in the end |
|
233 less |
| |
Fanny |
Tina |
| Before |
20 u + 140 |
20 u |
| Change |
- 4 u - 28 |
- 15 u |
| After |
16 u + 112 |
5 u |
15 x 140 = 28
140 - 28 = 112
Tina had 233 less buttons than Fanny in the end. So, if Tina had another 233 buttons in the end, the number of buttons that Tina and Fanny each had would be the same.
16 u + 112 = 5 u + 233
16 u - 5 u = 233 - 112
11 u = 121
1 u = 121 ÷ 11 = 11
Number of buttons that Fanny had in the end
= 16 u + 112
= 16 x 11 + 112
= 176 + 112
= 288
Answer(s): 288
