Japheth bought some pastries. He bought some cupcakes with $6.40 more than half his money. He then bought some cookies with $6.40 less than half of his remaining money. He then had $14.30 left. How much did he pay for the cupcakes?
| Cupcakes |
Remaining amount |
| 1 u + $6.40 |
1 u - $6.40 |
| |
Cookies |
Left |
| |
1 p - $6.40 |
1 p + $6.40 |
| |
|
$14.30 |
Working backwards.
Amount that Japheth had left = 1 p + 6.40
1 p + 6.40 = 14.30
1 p = 14.30 - 6.40 = 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 - 6.40
1 u - 6.40 = 15.80
1 u = 15.80 + 6.40
1 u = 22.20
Amount that Japheth spent on some cupcakes
= 1 u + 6.40
= 22.20 + 6.40
= $28.60
Answer(s): $28.60
