Zeph bought some pastries. He bought some cupcakes with $6.50 more than half his money. He then bought some scones with $2.10 less than half of his remaining money. He then had $4.40 left. How much did he pay for the cupcakes?
| Cupcakes |
Remaining amount |
| 1 u + $6.50 |
1 u - $6.50 |
| |
Scones |
Left |
| |
1 p - $2.10 |
1 p + $2.10 |
| |
|
$4.40 |
Working backwards.
Amount that Zeph had left = 1 p + 2.10
1 p + 2.10 = 4.40
1 p = 4.40 - 2.10 = 2.30
Remaining amount after he bought some cupcakes
= 2 p
= 2 x 2.30
= $4.60
Remaining amount after he bought some cupcakes = 1 u - 6.50
1 u - 6.50 = 4.60
1 u = 4.60 + 6.50
1 u = 11.10
Amount that Zeph spent on some cupcakes
= 1 u + 6.50
= 11.10 + 6.50
= $17.60
Answer(s): $17.60
