Irene had 104 more buttons than Penelope. After Irene gave away
14 of her buttons and Penelope gave away
23 of her buttons, Penelope had 98 less buttons than Irene. How many buttons did Irene have in the end?
| |
Irene |
Penelope |
Comparing Irene and
Penelope in the end |
104 more |
|
| Before |
4x3 |
+ 104 |
3x4 |
| Change |
- 1x3 |
- 26 |
- 2x4 |
| After |
3x3 |
+ 78 |
1x4 |
Comparing Irene and
Penelope in the end |
|
98 less |
| |
Irene |
Penelope |
| Before |
12 u + 104 |
12 u |
| Change |
- 3 u - 26 |
- 8 u |
| After |
9 u + 78 |
4 u |
14 x 104 = 26
104 - 26 = 78
Penelope had 98 less buttons than Irene in the end. So, if Penelope had another 98 buttons in the end, the number of buttons that Penelope and Irene each had would be the same.
9 u + 78 = 4 u + 98
9 u - 4 u = 98 - 78
5 u = 20
1 u = 20 ÷ 5 = 4
Number of buttons that Irene had in the end
= 9 u + 78
= 9 x 4 + 78
= 36 + 78
= 114
Answer(s): 114
