Penelope had 54 more buttons than Ivory. After Penelope gave away
13 of her buttons and Ivory gave away
34 of her buttons, Ivory had 71 less buttons than Penelope. How many buttons did Penelope have in the end?
| |
Penelope |
Ivory |
Comparing Penelope and
Ivory in the end |
54 more |
|
| Before |
3x4 |
+ 54 |
4x3 |
| Change |
- 1x4 |
- 18 |
- 3x3 |
| After |
2x4 |
+ 36 |
1x3 |
Comparing Penelope and
Ivory in the end |
|
71 less |
| |
Penelope |
Ivory |
| Before |
12 u + 54 |
12 u |
| Change |
- 4 u - 18 |
- 9 u |
| After |
8 u + 36 |
3 u |
13 x 54 = 18
54 - 18 = 36
Ivory had 71 less buttons than Penelope in the end. So, if Ivory had another 71 buttons in the end, the number of buttons that Ivory and Penelope each had would be the same.
8 u + 36 = 3 u + 71
8 u - 3 u = 71 - 36
5 u = 35
1 u = 35 ÷ 5 = 7
Number of buttons that Penelope had in the end
= 8 u + 36
= 8 x 7 + 36
= 56 + 36
= 92
Answer(s): 92
