Justin bought some pastries. He bought some macarons with $8.80 more than half his money. He then bought some shortbreads with $7.90 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 + $8.80 |
1 u - $8.80 |
| |
Shortbreads |
Left |
| |
1 p - $7.90 |
1 p + $7.90 |
| |
|
$11.20 |
Working backwards.
Amount that Justin had left = 1 p + 7.90
1 p + 7.90 = 11.20
1 p = 11.20 - 7.90 = 3.30
Remaining amount after he bought some macarons
= 2 p
= 2 x 3.30
= $6.60
Remaining amount after he bought some macarons = 1 u - 8.80
1 u - 8.80 = 6.60
1 u = 6.60 + 8.80
1 u = 15.40
Amount that Justin spent on some macarons
= 1 u + 8.80
= 15.40 + 8.80
= $24.20
Answer(s): $24.20
