Jeremy bought some pastries. He bought some tarts with $5.80 more than half his money. He then bought some cupcakes with $7.80 less than half of his remaining money. He then had $11.60 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $5.80 |
1 u - $5.80 |
| |
Cupcakes |
Left |
| |
1 p - $7.80 |
1 p + $7.80 |
| |
|
$11.60 |
Working backwards.
Amount that Jeremy had left = 1 p + 7.80
1 p + 7.80 = 11.60
1 p = 11.60 - 7.80 = 3.80
Remaining amount after he bought some tarts
= 2 p
= 2 x 3.80
= $7.60
Remaining amount after he bought some tarts = 1 u - 5.80
1 u - 5.80 = 7.60
1 u = 7.60 + 5.80
1 u = 13.40
Amount that Jeremy spent on some tarts
= 1 u + 5.80
= 13.40 + 5.80
= $19.20
Answer(s): $19.20
