Zara had 80 more buttons than Rachel. After Zara gave away
14 of her buttons and Rachel gave away
35 of her buttons, Rachel had 116 less buttons than Zara. How many buttons did Zara have in the end?
| |
Zara |
Rachel |
Comparing Zara and
Rachel in the end |
80 more |
|
| Before |
4x5 |
+ 80 |
5x4 |
| Change |
- 1x5 |
- 20 |
- 3x4 |
| After |
3x5 |
+ 60 |
2x4 |
Comparing Zara and
Rachel in the end |
|
116 less |
| |
Zara |
Rachel |
| Before |
20 u + 80 |
20 u |
| Change |
- 5 u - 20 |
- 12 u |
| After |
15 u + 60 |
8 u |
14 x 80 = 20
80 - 20 = 60
Rachel had 116 less buttons than Zara in the end. So, if Rachel had another 116 buttons in the end, the number of buttons that Rachel and Zara each had would be the same.
15 u + 60 = 8 u + 116
15 u - 8 u = 116 - 60
7 u = 56
1 u = 56 ÷ 7 = 8
Number of buttons that Zara had in the end
= 15 u + 60
= 15 x 8 + 60
= 120 + 60
= 180
Answer(s): 180
