Olivia had 148 more buttons than Emily. After Olivia gave away
14 of her buttons and Emily gave away
25 of her buttons, Emily had 117 less buttons than Olivia. How many buttons did Olivia have in the end?
| |
Olivia |
Emily |
Comparing Olivia and
Emily in the end |
148 more |
|
| Before |
4x5 |
+ 148 |
5x4 |
| Change |
- 1x5 |
- 37 |
- 2x4 |
| After |
3x5 |
+ 111 |
3x4 |
Comparing Olivia and
Emily in the end |
|
117 less |
| |
Olivia |
Emily |
| Before |
20 u + 148 |
20 u |
| Change |
- 5 u - 37 |
- 8 u |
| After |
15 u + 111 |
12 u |
14 x 148 = 37
148 - 37 = 111
Emily had 117 less buttons than Olivia in the end. So, if Emily had another 117 buttons in the end, the number of buttons that Emily and Olivia each had would be the same.
15 u + 111 = 12 u + 117
15 u - 12 u = 117 - 111
3 u = 6
1 u = 6 ÷ 3 = 2
Number of buttons that Olivia had in the end
= 15 u + 111
= 15 x 2 + 111
= 30 + 111
= 141
Answer(s): 141
