Irene had 70 more buttons than Fiona. After Irene gave away
25 of her buttons and Fiona gave away
23 of her buttons, Fiona had 66 less buttons than Irene. How many buttons did Irene have in the end?
| |
Irene |
Fiona |
Comparing Irene and
Fiona in the end |
70 more |
|
| Before |
5x3 |
+ 70 |
3x5 |
| Change |
- 2x3 |
- 28 |
- 2x5 |
| After |
3x3 |
+ 42 |
1x5 |
Comparing Irene and
Fiona in the end |
|
66 less |
| |
Irene |
Fiona |
| Before |
15 u + 70 |
15 u |
| Change |
- 6 u - 28 |
- 10 u |
| After |
9 u + 42 |
5 u |
25 x 70 = 28
70 - 28 = 42
Fiona had 66 less buttons than Irene in the end. So, if Fiona had another 66 buttons in the end, the number of buttons that Fiona and Irene each had would be the same.
9 u + 42 = 5 u + 66
9 u - 5 u = 66 - 42
4 u = 24
1 u = 24 ÷ 4 = 6
Number of buttons that Irene had in the end
= 9 u + 42
= 9 x 6 + 42
= 54 + 42
= 96
Answer(s): 96
