Lucy had 105 more buttons than Fanny. After Lucy gave away
15 of her buttons and Fanny gave away
23 of her buttons, Fanny had 112 less buttons than Lucy. How many buttons did Lucy have in the end?
| |
Lucy |
Fanny |
Comparing Lucy and
Fanny in the end |
105 more |
|
| Before |
5x3 |
+ 105 |
3x5 |
| Change |
- 1x3 |
- 21 |
- 2x5 |
| After |
4x3 |
+ 84 |
1x5 |
Comparing Lucy and
Fanny in the end |
|
112 less |
| |
Lucy |
Fanny |
| Before |
15 u + 105 |
15 u |
| Change |
- 3 u - 21 |
- 10 u |
| After |
12 u + 84 |
5 u |
15 x 105 = 21
105 - 21 = 84
Fanny had 112 less buttons than Lucy in the end. So, if Fanny had another 112 buttons in the end, the number of buttons that Fanny and Lucy each had would be the same.
12 u + 84 = 5 u + 112
12 u - 5 u = 112 - 84
7 u = 28
1 u = 28 ÷ 7 = 4
Number of buttons that Lucy had in the end
= 12 u + 84
= 12 x 4 + 84
= 48 + 84
= 132
Answer(s): 132
