Reggie bought some pastries. He bought some shortbreads with $5.50 more than half his money. He then bought some tarts with $4.20 less than half of his remaining money. He then had $7.90 left. How much did he pay for the shortbreads?
| Shortbreads |
Remaining amount |
| 1 u + $5.50 |
1 u - $5.50 |
| |
Tarts |
Left |
| |
1 p - $4.20 |
1 p + $4.20 |
| |
|
$7.90 |
Working backwards.
Amount that Reggie had left = 1 p + 4.20
1 p + 4.20 = 7.90
1 p = 7.90 - 4.20 = 3.70
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 3.70
= $7.40
Remaining amount after he bought some shortbreads = 1 u - 5.50
1 u - 5.50 = 7.40
1 u = 7.40 + 5.50
1 u = 12.90
Amount that Reggie spent on some shortbreads
= 1 u + 5.50
= 12.90 + 5.50
= $18.40
Answer(s): $18.40
