Bobby bought some pastries. He bought some cookies with $9.20 more than half his money. He then bought some shortbreads with $5.90 less than half of his remaining money. He then had $8.50 left. How much did he pay for the cookies?
| Cookies |
Remaining amount |
| 1 u + $9.20 |
1 u - $9.20 |
| |
Shortbreads |
Left |
| |
1 p - $5.90 |
1 p + $5.90 |
| |
|
$8.50 |
Working backwards.
Amount that Bobby had left = 1 p + 5.90
1 p + 5.90 = 8.50
1 p = 8.50 - 5.90 = 2.60
Remaining amount after he bought some cookies
= 2 p
= 2 x 2.60
= $5.20
Remaining amount after he bought some cookies = 1 u - 9.20
1 u - 9.20 = 5.20
1 u = 5.20 + 9.20
1 u = 14.40
Amount that Bobby spent on some cookies
= 1 u + 9.20
= 14.40 + 9.20
= $23.60
Answer(s): $23.60
