Gabriel bought some pastries. He bought some macarons with $7.10 more than half his money. He then bought some cupcakes with $2.40 less than half of his remaining money. He then had $4.50 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $7.10 |
1 u - $7.10 |
| |
Cupcakes |
Left |
| |
1 p - $2.40 |
1 p + $2.40 |
| |
|
$4.50 |
Working backwards.
Amount that Gabriel had left = 1 p + 2.40
1 p + 2.40 = 4.50
1 p = 4.50 - 2.40 = 2.10
Remaining amount after he bought some macarons
= 2 p
= 2 x 2.10
= $4.20
Remaining amount after he bought some macarons = 1 u - 7.10
1 u - 7.10 = 4.20
1 u = 4.20 + 7.10
1 u = 11.30
Amount that Gabriel spent on some macarons
= 1 u + 7.10
= 11.30 + 7.10
= $18.40
Answer(s): $18.40
