Howard bought some pastries. He bought some cookies with $7.20 more than half his money. He then bought some muffins with $8.70 less than half of his remaining money. He then had $10.80 left. How much did he pay for the cookies?
| Cookies |
Remaining amount |
| 1 u + $7.20 |
1 u - $7.20 |
| |
Muffins |
Left |
| |
1 p - $8.70 |
1 p + $8.70 |
| |
|
$10.80 |
Working backwards.
Amount that Howard had left = 1 p + 8.70
1 p + 8.70 = 10.80
1 p = 10.80 - 8.70 = 2.10
Remaining amount after he bought some cookies
= 2 p
= 2 x 2.10
= $4.20
Remaining amount after he bought some cookies = 1 u - 7.20
1 u - 7.20 = 4.20
1 u = 4.20 + 7.20
1 u = 11.40
Amount that Howard spent on some cookies
= 1 u + 7.20
= 11.40 + 7.20
= $18.60
Answer(s): $18.60
