Gabriel bought some pastries. He bought some wafers with $9.50 more than half his money. He then bought some tarts with $2.80 less than half of his remaining money. He then had $11.10 left. How much did he pay for the wafers?
| Wafers |
Remaining amount |
| 1 u + $9.50 |
1 u - $9.50 |
| |
Tarts |
Left |
| |
1 p - $2.80 |
1 p + $2.80 |
| |
|
$11.10 |
Working backwards.
Amount that Gabriel had left = 1 p + 2.80
1 p + 2.80 = 11.10
1 p = 11.10 - 2.80 = 8.30
Remaining amount after he bought some wafers
= 2 p
= 2 x 8.30
= $16.60
Remaining amount after he bought some wafers = 1 u - 9.50
1 u - 9.50 = 16.60
1 u = 16.60 + 9.50
1 u = 26.10
Amount that Gabriel spent on some wafers
= 1 u + 9.50
= 26.10 + 9.50
= $35.60
Answer(s): $35.60
