Lucy had 30 more buttons than Olivia. After Lucy gave away
15 of her buttons and Olivia gave away
34 of her buttons, Olivia had 112 less buttons than Lucy. How many buttons did Lucy have at first?
| |
Lucy |
Olivia |
Comparing Lucy and
Olivia at first |
30 more |
|
| Before |
5x4 |
+ 30 |
4x5 |
| Change |
- 1x4 |
- 6 |
- 3x5 |
| After |
4x4 |
+ 24 |
1x5 |
Comparing Lucy and
Olivia in the end |
|
112 less |
| |
Lucy |
Olivia |
| Before |
20 u + 30 |
20 u |
| Change |
- 4 u - 6 |
- 15 u |
| After |
16 u + 24 |
5 u |
15 x 30 = 6
30 - 6 = 24
Olivia had 112 less buttons than Lucy in the end. So, if Olivia had another 112 buttons in the end, the number of buttons that Olivia and Lucy each had would be the same.
16 u + 24 = 5 u + 112
16 u - 5 u = 112 - 24
11 u = 88
1 u = 88 ÷ 11 = 8
Number of buttons that Lucy had at first
= 20 u + 30
= 20 x 8 + 30
= 160 + 30
= 190
Answer(s): 190
