Eric bought some pastries. He bought some cupcakes with $9.50 more than half his money. He then bought some puffs with $6.10 less than half of his remaining money. He then had $9.80 left. How much did he pay for the cupcakes?
| Cupcakes |
Remaining amount |
| 1 u + $9.50 |
1 u - $9.50 |
| |
Puffs |
Left |
| |
1 p - $6.10 |
1 p + $6.10 |
| |
|
$9.80 |
Working backwards.
Amount that Eric had left = 1 p + 6.10
1 p + 6.10 = 9.80
1 p = 9.80 - 6.10 = 3.70
Remaining amount after he bought some cupcakes
= 2 p
= 2 x 3.70
= $7.40
Remaining amount after he bought some cupcakes = 1 u - 9.50
1 u - 9.50 = 7.40
1 u = 7.40 + 9.50
1 u = 16.90
Amount that Eric spent on some cupcakes
= 1 u + 9.50
= 16.90 + 9.50
= $26.40
Answer(s): $26.40
