Gwen had 85 more buttons than Abi. After Gwen gave away
15 of her buttons and Abi gave away
13 of her buttons, Abi had 82 less buttons than Gwen. How many buttons did Gwen have in the end?
| |
Gwen |
Abi |
Comparing Gwen and
Abi in the end |
85 more |
|
| Before |
5x3 |
+ 85 |
3x5 |
| Change |
- 1x3 |
- 17 |
- 1x5 |
| After |
4x3 |
+ 68 |
2x5 |
Comparing Gwen and
Abi in the end |
|
82 less |
| |
Gwen |
Abi |
| Before |
15 u + 85 |
15 u |
| Change |
- 3 u - 17 |
- 5 u |
| After |
12 u + 68 |
10 u |
15 x 85 = 17
85 - 17 = 68
Abi had 82 less buttons than Gwen in the end. So, if Abi had another 82 buttons in the end, the number of buttons that Abi and Gwen each had would be the same.
12 u + 68 = 10 u + 82
12 u - 10 u = 82 - 68
2 u = 14
1 u = 14 ÷ 2 = 7
Number of buttons that Gwen had in the end
= 12 u + 68
= 12 x 7 + 68
= 84 + 68
= 152
Answer(s): 152
