Nick bought some pastries. He bought some shortbreads with $9.70 more than half his money. He then bought some cupcakes with $4.70 less than half of his remaining money. He then had $9.40 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $9.70 |
1 u - $9.70 |
|
Cupcakes |
Left |
|
1 p - $4.70 |
1 p + $4.70 |
|
|
$9.40 |
Working backwards.
Amount that Nick had left = 1 p + 4.70
1 p + 4.70 = 9.40
1 p = 9.40 - 4.70 = 4.70
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 4.70
= $9.40
Remaining amount after he bought some shortbreads = 1 u - 9.70
1 u - 9.70 = 9.40
1 u = 9.40 + 9.70
1 u = 19.10
Amount that Nick spent on some shortbreads
= 1 u + 9.70
= 19.10 + 9.70
= $28.80
Answer(s): $28.80