Jeremy bought some pastries. He bought some macarons with $6.80 more than half his money. He then bought some shortbreads with $3.40 less than half of his remaining money. He then had $7.80 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $6.80 |
1 u - $6.80 |
| |
Shortbreads |
Left |
| |
1 p - $3.40 |
1 p + $3.40 |
| |
|
$7.80 |
Working backwards.
Amount that Jeremy had left = 1 p + 3.40
1 p + 3.40 = 7.80
1 p = 7.80 - 3.40 = 4.40
Remaining amount after he bought some macarons
= 2 p
= 2 x 4.40
= $8.80
Remaining amount after he bought some macarons = 1 u - 6.80
1 u - 6.80 = 8.80
1 u = 8.80 + 6.80
1 u = 15.60
Amount that Jeremy spent on some macarons
= 1 u + 6.80
= 15.60 + 6.80
= $22.40
Answer(s): $22.40
