Charlie bought some pastries. He bought some cookies with $6.60 more than half his money. He then bought some wafers with $5.50 less than half of his remaining money. He then had $13.60 left. How much did he pay for the cookies?
| Cookies |
Remaining amount |
| 1 u + $6.60 |
1 u - $6.60 |
| |
Wafers |
Left |
| |
1 p - $5.50 |
1 p + $5.50 |
| |
|
$13.60 |
Working backwards.
Amount that Charlie had left = 1 p + 5.50
1 p + 5.50 = 13.60
1 p = 13.60 - 5.50 = 8.10
Remaining amount after he bought some cookies
= 2 p
= 2 x 8.10
= $16.20
Remaining amount after he bought some cookies = 1 u - 6.60
1 u - 6.60 = 16.20
1 u = 16.20 + 6.60
1 u = 22.80
Amount that Charlie spent on some cookies
= 1 u + 6.60
= 22.80 + 6.60
= $29.40
Answer(s): $29.40
