Rael bought some pastries. He bought some macarons with $7.20 more than half his money. He then bought some biscuits with $2.90 less than half of his remaining money. He then had $10.50 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $7.20 |
1 u - $7.20 |
| |
Biscuits |
Left |
| |
1 p - $2.90 |
1 p + $2.90 |
| |
|
$10.50 |
Working backwards.
Amount that Rael had left = 1 p + 2.90
1 p + 2.90 = 10.50
1 p = 10.50 - 2.90 = 7.60
Remaining amount after he bought some macarons
= 2 p
= 2 x 7.60
= $15.20
Remaining amount after he bought some macarons = 1 u - 7.20
1 u - 7.20 = 15.20
1 u = 15.20 + 7.20
1 u = 22.40
Amount that Rael spent on some macarons
= 1 u + 7.20
= 22.40 + 7.20
= $29.60
Answer(s): $29.60
