Zeph bought some pastries. He bought some tarts with $8.90 more than half his money. He then bought some muffins with $7.90 less than half of his remaining money. He then had $15.80 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $8.90 |
1 u - $8.90 |
| |
Muffins |
Left |
| |
1 p - $7.90 |
1 p + $7.90 |
| |
|
$15.80 |
Working backwards.
Amount that Zeph had left = 1 p + 7.90
1 p + 7.90 = 15.80
1 p = 15.80 - 7.90 = 7.90
Remaining amount after he bought some tarts
= 2 p
= 2 x 7.90
= $15.80
Remaining amount after he bought some tarts = 1 u - 8.90
1 u - 8.90 = 15.80
1 u = 15.80 + 8.90
1 u = 24.70
Amount that Zeph spent on some tarts
= 1 u + 8.90
= 24.70 + 8.90
= $33.60
Answer(s): $33.60
