Ahmad bought some pastries. He bought some shortbreads with $9.70 more than half his money. He then bought some cupcakes with $5.30 less than half of his remaining money. He then had $9.20 left. How much did he pay for the shortbreads?
| Shortbreads |
Remaining amount |
| 1 u + $9.70 |
1 u - $9.70 |
| |
Cupcakes |
Left |
| |
1 p - $5.30 |
1 p + $5.30 |
| |
|
$9.20 |
Working backwards.
Amount that Ahmad had left = 1 p + 5.30
1 p + 5.30 = 9.20
1 p = 9.20 - 5.30 = 3.90
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 3.90
= $7.80
Remaining amount after he bought some shortbreads = 1 u - 9.70
1 u - 9.70 = 7.80
1 u = 7.80 + 9.70
1 u = 17.50
Amount that Ahmad spent on some shortbreads
= 1 u + 9.70
= 17.50 + 9.70
= $27.20
Answer(s): $27.20
