Vincent bought some pastries. He bought some tarts with $7.70 more than half his money. He then bought some muffins with $4.80 less than half of his remaining money. He then had $12.20 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $7.70 |
1 u - $7.70 |
| |
Muffins |
Left |
| |
1 p - $4.80 |
1 p + $4.80 |
| |
|
$12.20 |
Working backwards.
Amount that Vincent had left = 1 p + 4.80
1 p + 4.80 = 12.20
1 p = 12.20 - 4.80 = 7.40
Remaining amount after he bought some tarts
= 2 p
= 2 x 7.40
= $14.80
Remaining amount after he bought some tarts = 1 u - 7.70
1 u - 7.70 = 14.80
1 u = 14.80 + 7.70
1 u = 22.50
Amount that Vincent spent on some tarts
= 1 u + 7.70
= 22.50 + 7.70
= $30.20
Answer(s): $30.20
