Vanessa had 40 more buttons than Julie. After Vanessa gave away
14 of her buttons and Julie gave away
35 of her buttons, Julie had 44 less buttons than Vanessa. How many buttons did Vanessa have in the end?
| |
Vanessa |
Julie |
Comparing Vanessa and
Julie in the end |
40 more |
|
| Before |
4x5 |
+ 40 |
5x4 |
| Change |
- 1x5 |
- 10 |
- 3x4 |
| After |
3x5 |
+ 30 |
2x4 |
Comparing Vanessa and
Julie in the end |
|
44 less |
| |
Vanessa |
Julie |
| Before |
20 u + 40 |
20 u |
| Change |
- 5 u - 10 |
- 12 u |
| After |
15 u + 30 |
8 u |
14 x 40 = 10
40 - 10 = 30
Julie had 44 less buttons than Vanessa in the end. So, if Julie had another 44 buttons in the end, the number of buttons that Julie and Vanessa each had would be the same.
15 u + 30 = 8 u + 44
15 u - 8 u = 44 - 30
7 u = 14
1 u = 14 ÷ 7 = 2
Number of buttons that Vanessa had in the end
= 15 u + 30
= 15 x 2 + 30
= 30 + 30
= 60
Answer(s): 60
