Gillian had 125 more buttons than Gabby. After Gillian gave away
15 of her buttons and Gabby gave away
35 of her buttons, Gabby had 104 less buttons than Gillian. How many buttons did Gillian have at first?
| |
Gillian |
Gabby |
Comparing Gillian and
Gabby at first |
125 more |
|
| Before |
5x1 |
+ 125 |
5x1 |
| Change |
- 1x1 |
- 25 |
- 3x1 |
| After |
4x1 |
+ 100 |
2x1 |
Comparing Gillian and
Gabby in the end |
|
104 less |
| |
Gillian |
Gabby |
| Before |
5 u + 125 |
5 u |
| Change |
- 1 u - 25 |
- 3 u |
| After |
4 u + 100 |
2 u |
15 x 125 = 25
125 - 25 = 100
Gabby had 104 less buttons than Gillian in the end. So, if Gabby had another 104 buttons in the end, the number of buttons that Gabby and Gillian each had would be the same.
4 u + 100 = 2 u + 104
4 u - 2 u = 104 - 100
2 u = 4
1 u = 4 ÷ 2 = 2
Number of buttons that Gillian had at first
= 5 u + 125
= 5 x 2 + 125
= 10 + 125
= 135
Answer(s): 135
