Tommy bought some pastries. He bought some scones with $5.70 more than half his money. He then bought some macarons with $1.70 less than half of his remaining money. He then had $7.30 left. How much did he pay for the scones?
| Scones |
Remaining amount |
| 1 u + $5.70 |
1 u - $5.70 |
| |
Macarons |
Left |
| |
1 p - $1.70 |
1 p + $1.70 |
| |
|
$7.30 |
Working backwards.
Amount that Tommy had left = 1 p + 1.70
1 p + 1.70 = 7.30
1 p = 7.30 - 1.70 = 5.60
Remaining amount after he bought some scones
= 2 p
= 2 x 5.60
= $11.20
Remaining amount after he bought some scones = 1 u - 5.70
1 u - 5.70 = 11.20
1 u = 11.20 + 5.70
1 u = 16.90
Amount that Tommy spent on some scones
= 1 u + 5.70
= 16.90 + 5.70
= $22.60
Answer(s): $22.60
