Gabriel bought some pastries. He bought some shortbreads with $7.20 more than half his money. He then bought some croissants with $4.60 less than half of his remaining money. He then had $7.80 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $7.20 |
1 u - $7.20 |
|
Croissants |
Left |
|
1 p - $4.60 |
1 p + $4.60 |
|
|
$7.80 |
Working backwards.
Amount that Gabriel had left = 1 p + 4.60
1 p + 4.60 = 7.80
1 p = 7.80 - 4.60 = 3.20
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 3.20
= $6.40
Remaining amount after he bought some shortbreads = 1 u - 7.20
1 u - 7.20 = 6.40
1 u = 6.40 + 7.20
1 u = 13.60
Amount that Gabriel spent on some shortbreads
= 1 u + 7.20
= 13.60 + 7.20
= $20.80
Answer(s): $20.80