Sabrina had 150 more buttons than Emily. After Sabrina gave away
15 of her buttons and Emily gave away
35 of her buttons, Emily had 128 less buttons than Sabrina. How many buttons did Sabrina have in the end?
|
Sabrina |
Emily |
Comparing Sabrina and Emily in the end |
150 more |
|
Before |
5x1 |
+ 150 |
5x1 |
Change |
- 1x1 |
- 30 |
- 3x1 |
After |
4x1 |
+ 120 |
2x1 |
Comparing Sabrina and Emily in the end |
|
128 less |
|
Sabrina |
Emily |
Before |
5 u + 150 |
5 u |
Change |
- 1 u - 30 |
- 3 u |
After |
4 u + 120 |
2 u |
15 x 150 = 30
150 - 30 = 120
Emily had 128 less buttons than Sabrina in the end. So, if Emily had another 128 buttons in the end, the number of buttons that Emily and Sabrina each had would be the same.
4 u + 120 = 2 u + 128
4 u - 2 u = 128 - 120
2 u = 8
1 u = 8 ÷ 2 = 4
Number of buttons that Sabrina had in the end
= 4 u + 120
= 4 x 4 + 120
= 16 + 120
= 136
Answer(s): 136