Ian bought some pastries. He bought some cookies with $9.80 more than half his money. He then bought some biscuits with $5.80 less than half of his remaining money. He then had $12.20 left. How much did he pay for the cookies?
| Cookies |
Remaining amount |
| 1 u + $9.80 |
1 u - $9.80 |
| |
Biscuits |
Left |
| |
1 p - $5.80 |
1 p + $5.80 |
| |
|
$12.20 |
Working backwards.
Amount that Ian had left = 1 p + 5.80
1 p + 5.80 = 12.20
1 p = 12.20 - 5.80 = 6.40
Remaining amount after he bought some cookies
= 2 p
= 2 x 6.40
= $12.80
Remaining amount after he bought some cookies = 1 u - 9.80
1 u - 9.80 = 12.80
1 u = 12.80 + 9.80
1 u = 22.60
Amount that Ian spent on some cookies
= 1 u + 9.80
= 22.60 + 9.80
= $32.40
Answer(s): $32.40
