Rael bought some pastries. He bought some shortbreads with $5.70 more than half his money. He then bought some croissants with $6.60 less than half of his remaining money. He then had $15.50 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $5.70 |
1 u - $5.70 |
|
Croissants |
Left |
|
1 p - $6.60 |
1 p + $6.60 |
|
|
$15.50 |
Working backwards.
Amount that Rael had left = 1 p + 6.60
1 p + 6.60 = 15.50
1 p = 15.50 - 6.60 = 8.90
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 8.90
= $17.80
Remaining amount after he bought some shortbreads = 1 u - 5.70
1 u - 5.70 = 17.80
1 u = 17.80 + 5.70
1 u = 23.50
Amount that Rael spent on some shortbreads
= 1 u + 5.70
= 23.50 + 5.70
= $29.20
Answer(s): $29.20