Pamela had 120 more buttons than Opal. After Pamela gave away
14 of her buttons and Opal gave away
25 of her buttons, Opal had 111 less buttons than Pamela. How many buttons did Pamela have in the end?
| |
Pamela |
Opal |
Comparing Pamela and
Opal in the end |
120 more |
|
| Before |
4x5 |
+ 120 |
5x4 |
| Change |
- 1x5 |
- 30 |
- 2x4 |
| After |
3x5 |
+ 90 |
3x4 |
Comparing Pamela and
Opal in the end |
|
111 less |
| |
Pamela |
Opal |
| Before |
20 u + 120 |
20 u |
| Change |
- 5 u - 30 |
- 8 u |
| After |
15 u + 90 |
12 u |
14 x 120 = 30
120 - 30 = 90
Opal had 111 less buttons than Pamela in the end. So, if Opal had another 111 buttons in the end, the number of buttons that Opal and Pamela each had would be the same.
15 u + 90 = 12 u + 111
15 u - 12 u = 111 - 90
3 u = 21
1 u = 21 ÷ 3 = 7
Number of buttons that Pamela had in the end
= 15 u + 90
= 15 x 7 + 90
= 105 + 90
= 195
Answer(s): 195
