Pierre bought some pastries. He bought some macarons with $5.30 more than half his money. He then bought some cupcakes with $5.90 less than half of his remaining money. He then had $11.20 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $5.30 |
1 u - $5.30 |
| |
Cupcakes |
Left |
| |
1 p - $5.90 |
1 p + $5.90 |
| |
|
$11.20 |
Working backwards.
Amount that Pierre had left = 1 p + 5.90
1 p + 5.90 = 11.20
1 p = 11.20 - 5.90 = 5.30
Remaining amount after he bought some macarons
= 2 p
= 2 x 5.30
= $10.60
Remaining amount after he bought some macarons = 1 u - 5.30
1 u - 5.30 = 10.60
1 u = 10.60 + 5.30
1 u = 15.90
Amount that Pierre spent on some macarons
= 1 u + 5.30
= 15.90 + 5.30
= $21.20
Answer(s): $21.20
