Emily had 70 more buttons than Anna. After Emily gave away
15 of her buttons and Anna gave away
23 of her buttons, Anna had 77 less buttons than Emily. How many buttons did Emily have at first?
| |
Emily |
Anna |
Comparing Emily and
Anna at first |
70 more |
|
| Before |
5x3 |
+ 70 |
3x5 |
| Change |
- 1x3 |
- 14 |
- 2x5 |
| After |
4x3 |
+ 56 |
1x5 |
Comparing Emily and
Anna in the end |
|
77 less |
| |
Emily |
Anna |
| Before |
15 u + 70 |
15 u |
| Change |
- 3 u - 14 |
- 10 u |
| After |
12 u + 56 |
5 u |
15 x 70 = 14
70 - 14 = 56
Anna had 77 less buttons than Emily in the end. So, if Anna had another 77 buttons in the end, the number of buttons that Anna and Emily each had would be the same.
12 u + 56 = 5 u + 77
12 u - 5 u = 77 - 56
7 u = 21
1 u = 21 ÷ 7 = 3
Number of buttons that Emily had at first
= 15 u + 70
= 15 x 3 + 70
= 45 + 70
= 115
Answer(s): 115
