Tom bought some pastries. He bought some cupcakes with $8.30 more than half his money. He then bought some biscuits with $3.40 less than half of his remaining money. He then had $11.30 left. How much did he pay for the cupcakes?
| Cupcakes |
Remaining amount |
| 1 u + $8.30 |
1 u - $8.30 |
| |
Biscuits |
Left |
| |
1 p - $3.40 |
1 p + $3.40 |
| |
|
$11.30 |
Working backwards.
Amount that Tom had left = 1 p + 3.40
1 p + 3.40 = 11.30
1 p = 11.30 - 3.40 = 7.90
Remaining amount after he bought some cupcakes
= 2 p
= 2 x 7.90
= $15.80
Remaining amount after he bought some cupcakes = 1 u - 8.30
1 u - 8.30 = 15.80
1 u = 15.80 + 8.30
1 u = 24.10
Amount that Tom spent on some cupcakes
= 1 u + 8.30
= 24.10 + 8.30
= $32.40
Answer(s): $32.40
