Dylan bought some pastries. He bought some tarts with $9.50 more than half his money. He then bought some muffins with $4.90 less than half of his remaining money. He then had $11.60 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $9.50 |
1 u - $9.50 |
| |
Muffins |
Left |
| |
1 p - $4.90 |
1 p + $4.90 |
| |
|
$11.60 |
Working backwards.
Amount that Dylan had left = 1 p + 4.90
1 p + 4.90 = 11.60
1 p = 11.60 - 4.90 = 6.70
Remaining amount after he bought some tarts
= 2 p
= 2 x 6.70
= $13.40
Remaining amount after he bought some tarts = 1 u - 9.50
1 u - 9.50 = 13.40
1 u = 13.40 + 9.50
1 u = 22.90
Amount that Dylan spent on some tarts
= 1 u + 9.50
= 22.90 + 9.50
= $32.40
Answer(s): $32.40
