Cole bought some pastries. He bought some macarons with $7.70 more than half his money. He then bought some tarts with $1.40 less than half of his remaining money. He then had $7.30 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $7.70 |
1 u - $7.70 |
| |
Tarts |
Left |
| |
1 p - $1.40 |
1 p + $1.40 |
| |
|
$7.30 |
Working backwards.
Amount that Cole had left = 1 p + 1.40
1 p + 1.40 = 7.30
1 p = 7.30 - 1.40 = 5.90
Remaining amount after he bought some macarons
= 2 p
= 2 x 5.90
= $11.80
Remaining amount after he bought some macarons = 1 u - 7.70
1 u - 7.70 = 11.80
1 u = 11.80 + 7.70
1 u = 19.50
Amount that Cole spent on some macarons
= 1 u + 7.70
= 19.50 + 7.70
= $27.20
Answer(s): $27.20
