Simon bought some pastries. He bought some cookies with $9.50 more than half his money. He then bought some wafers with $6.80 less than half of his remaining money. He then had $12.40 left. How much did he pay for the cookies?
| Cookies |
Remaining amount |
| 1 u + $9.50 |
1 u - $9.50 |
| |
Wafers |
Left |
| |
1 p - $6.80 |
1 p + $6.80 |
| |
|
$12.40 |
Working backwards.
Amount that Simon had left = 1 p + 6.80
1 p + 6.80 = 12.40
1 p = 12.40 - 6.80 = 5.60
Remaining amount after he bought some cookies
= 2 p
= 2 x 5.60
= $11.20
Remaining amount after he bought some cookies = 1 u - 9.50
1 u - 9.50 = 11.20
1 u = 11.20 + 9.50
1 u = 20.70
Amount that Simon spent on some cookies
= 1 u + 9.50
= 20.70 + 9.50
= $30.20
Answer(s): $30.20
