Tiffany had 150 more buttons than Xandra. After Tiffany gave away
25 of her buttons and Xandra gave away
34 of her buttons, Xandra had 174 less buttons than Tiffany. How many buttons did Tiffany have at first?
| |
Tiffany |
Xandra |
Comparing Tiffany and
Xandra at first |
150 more |
|
| Before |
5x4 |
+ 150 |
4x5 |
| Change |
- 2x4 |
- 60 |
- 3x5 |
| After |
3x4 |
+ 90 |
1x5 |
Comparing Tiffany and
Xandra in the end |
|
174 less |
| |
Tiffany |
Xandra |
| Before |
20 u + 150 |
20 u |
| Change |
- 8 u - 60 |
- 15 u |
| After |
12 u + 90 |
5 u |
25 x 150 = 60
150 - 60 = 90
Xandra had 174 less buttons than Tiffany in the end. So, if Xandra had another 174 buttons in the end, the number of buttons that Xandra and Tiffany each had would be the same.
12 u + 90 = 5 u + 174
12 u - 5 u = 174 - 90
7 u = 84
1 u = 84 ÷ 7 = 12
Number of buttons that Tiffany had at first
= 20 u + 150
= 20 x 12 + 150
= 240 + 150
= 390
Answer(s): 390
