Japheth bought some pastries. He bought some tarts with $5.50 more than half his money. He then bought some wafers with $3.90 less than half of his remaining money. He then had $12.10 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $5.50 |
1 u - $5.50 |
| |
Wafers |
Left |
| |
1 p - $3.90 |
1 p + $3.90 |
| |
|
$12.10 |
Working backwards.
Amount that Japheth had left = 1 p + 3.90
1 p + 3.90 = 12.10
1 p = 12.10 - 3.90 = 8.20
Remaining amount after he bought some tarts
= 2 p
= 2 x 8.20
= $16.40
Remaining amount after he bought some tarts = 1 u - 5.50
1 u - 5.50 = 16.40
1 u = 16.40 + 5.50
1 u = 21.90
Amount that Japheth spent on some tarts
= 1 u + 5.50
= 21.90 + 5.50
= $27.40
Answer(s): $27.40
