Carl bought some pastries. He bought some shortbreads with $7.60 more than half his money. He then bought some puffs with $3.70 less than half of his remaining money. He then had $7.50 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $7.60 |
1 u - $7.60 |
|
Puffs |
Left |
|
1 p - $3.70 |
1 p + $3.70 |
|
|
$7.50 |
Working backwards.
Amount that Carl had left = 1 p + 3.70
1 p + 3.70 = 7.50
1 p = 7.50 - 3.70 = 3.80
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 3.80
= $7.60
Remaining amount after he bought some shortbreads = 1 u - 7.60
1 u - 7.60 = 7.60
1 u = 7.60 + 7.60
1 u = 15.20
Amount that Carl spent on some shortbreads
= 1 u + 7.60
= 15.20 + 7.60
= $22.80
Answer(s): $22.80