Warren bought some pastries. He bought some macarons with $7.60 more than half his money. He then bought some cookies with $6.30 less than half of his remaining money. He then had $9.10 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $7.60 |
1 u - $7.60 |
| |
Cookies |
Left |
| |
1 p - $6.30 |
1 p + $6.30 |
| |
|
$9.10 |
Working backwards.
Amount that Warren had left = 1 p + 6.30
1 p + 6.30 = 9.10
1 p = 9.10 - 6.30 = 2.80
Remaining amount after he bought some macarons
= 2 p
= 2 x 2.80
= $5.60
Remaining amount after he bought some macarons = 1 u - 7.60
1 u - 7.60 = 5.60
1 u = 5.60 + 7.60
1 u = 13.20
Amount that Warren spent on some macarons
= 1 u + 7.60
= 13.20 + 7.60
= $20.80
Answer(s): $20.80
