Betty had 52 more buttons than Tiffany. After Betty gave away
14 of her buttons and Tiffany gave away
35 of her buttons, Tiffany had 74 less buttons than Betty. How many buttons did Betty have in the end?
| |
Betty |
Tiffany |
Comparing Betty and
Tiffany in the end |
52 more |
|
| Before |
4x5 |
+ 52 |
5x4 |
| Change |
- 1x5 |
- 13 |
- 3x4 |
| After |
3x5 |
+ 39 |
2x4 |
Comparing Betty and
Tiffany in the end |
|
74 less |
| |
Betty |
Tiffany |
| Before |
20 u + 52 |
20 u |
| Change |
- 5 u - 13 |
- 12 u |
| After |
15 u + 39 |
8 u |
14 x 52 = 13
52 - 13 = 39
Tiffany had 74 less buttons than Betty in the end. So, if Tiffany had another 74 buttons in the end, the number of buttons that Tiffany and Betty each had would be the same.
15 u + 39 = 8 u + 74
15 u - 8 u = 74 - 39
7 u = 35
1 u = 35 ÷ 7 = 5
Number of buttons that Betty had in the end
= 15 u + 39
= 15 x 5 + 39
= 75 + 39
= 114
Answer(s): 114
