Elijah bought some pastries. He bought some cookies with $9.40 more than half his money. He then bought some croissants with $8.30 less than half of his remaining money. He then had $10.70 left. How much did he pay for the cookies?
| Cookies |
Remaining amount |
| 1 u + $9.40 |
1 u - $9.40 |
| |
Croissants |
Left |
| |
1 p - $8.30 |
1 p + $8.30 |
| |
|
$10.70 |
Working backwards.
Amount that Elijah had left = 1 p + 8.30
1 p + 8.30 = 10.70
1 p = 10.70 - 8.30 = 2.40
Remaining amount after he bought some cookies
= 2 p
= 2 x 2.40
= $4.80
Remaining amount after he bought some cookies = 1 u - 9.40
1 u - 9.40 = 4.80
1 u = 4.80 + 9.40
1 u = 14.20
Amount that Elijah spent on some cookies
= 1 u + 9.40
= 14.20 + 9.40
= $23.60
Answer(s): $23.60
