Xandra had 110 more buttons than Abi. After Xandra gave away
15 of her buttons and Abi gave away
13 of her buttons, Abi had 94 less buttons than Xandra. How many buttons did Xandra have at first?
| |
Xandra |
Abi |
Comparing Xandra and
Abi at first |
110 more |
|
| Before |
5x3 |
+ 110 |
3x5 |
| Change |
- 1x3 |
- 22 |
- 1x5 |
| After |
4x3 |
+ 88 |
2x5 |
Comparing Xandra and
Abi in the end |
|
94 less |
| |
Xandra |
Abi |
| Before |
15 u + 110 |
15 u |
| Change |
- 3 u - 22 |
- 5 u |
| After |
12 u + 88 |
10 u |
15 x 110 = 22
110 - 22 = 88
Abi had 94 less buttons than Xandra in the end. So, if Abi had another 94 buttons in the end, the number of buttons that Abi and Xandra each had would be the same.
12 u + 88 = 10 u + 94
12 u - 10 u = 94 - 88
2 u = 6
1 u = 6 ÷ 2 = 3
Number of buttons that Xandra had at first
= 15 u + 110
= 15 x 3 + 110
= 45 + 110
= 155
Answer(s): 155
