Albert bought some pastries. He bought some tarts with $9.30 more than half his money. He then bought some muffins with $8.50 less than half of his remaining money. He then had $15.40 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $9.30 |
1 u - $9.30 |
| |
Muffins |
Left |
| |
1 p - $8.50 |
1 p + $8.50 |
| |
|
$15.40 |
Working backwards.
Amount that Albert had left = 1 p + 8.50
1 p + 8.50 = 15.40
1 p = 15.40 - 8.50 = 6.90
Remaining amount after he bought some tarts
= 2 p
= 2 x 6.90
= $13.80
Remaining amount after he bought some tarts = 1 u - 9.30
1 u - 9.30 = 13.80
1 u = 13.80 + 9.30
1 u = 23.10
Amount that Albert spent on some tarts
= 1 u + 9.30
= 23.10 + 9.30
= $32.40
Answer(s): $32.40
