Daniel bought some pastries. He bought some cookies with $9.10 more than half his money. He then bought some cupcakes with $4.70 less than half of his remaining money. He then had $12.30 left. How much did he pay for the cookies?
| Cookies |
Remaining amount |
| 1 u + $9.10 |
1 u - $9.10 |
| |
Cupcakes |
Left |
| |
1 p - $4.70 |
1 p + $4.70 |
| |
|
$12.30 |
Working backwards.
Amount that Daniel had left = 1 p + 4.70
1 p + 4.70 = 12.30
1 p = 12.30 - 4.70 = 7.60
Remaining amount after he bought some cookies
= 2 p
= 2 x 7.60
= $15.20
Remaining amount after he bought some cookies = 1 u - 9.10
1 u - 9.10 = 15.20
1 u = 15.20 + 9.10
1 u = 24.30
Amount that Daniel spent on some cookies
= 1 u + 9.10
= 24.30 + 9.10
= $33.40
Answer(s): $33.40
