Erika had 130 more buttons than Gillian. After Erika gave away
15 of her buttons and Gillian gave away
23 of her buttons, Gillian had 153 less buttons than Erika. How many buttons did Erika have in the end?
| |
Erika |
Gillian |
Comparing Erika and
Gillian in the end |
130 more |
|
| Before |
5x3 |
+ 130 |
3x5 |
| Change |
- 1x3 |
- 26 |
- 2x5 |
| After |
4x3 |
+ 104 |
1x5 |
Comparing Erika and
Gillian in the end |
|
153 less |
| |
Erika |
Gillian |
| Before |
15 u + 130 |
15 u |
| Change |
- 3 u - 26 |
- 10 u |
| After |
12 u + 104 |
5 u |
15 x 130 = 26
130 - 26 = 104
Gillian had 153 less buttons than Erika in the end. So, if Gillian had another 153 buttons in the end, the number of buttons that Gillian and Erika each had would be the same.
12 u + 104 = 5 u + 153
12 u - 5 u = 153 - 104
7 u = 49
1 u = 49 ÷ 7 = 7
Number of buttons that Erika had in the end
= 12 u + 104
= 12 x 7 + 104
= 84 + 104
= 188
Answer(s): 188
