Ivan bought some pastries. He bought some biscuits with $5.10 more than half his money. He then bought some macarons with $2.40 less than half of his remaining money. He then had $10.60 left. How much did he pay for the biscuits?
| Biscuits |
Remaining amount |
| 1 u + $5.10 |
1 u - $5.10 |
| |
Macarons |
Left |
| |
1 p - $2.40 |
1 p + $2.40 |
| |
|
$10.60 |
Working backwards.
Amount that Ivan had left = 1 p + 2.40
1 p + 2.40 = 10.60
1 p = 10.60 - 2.40 = 8.20
Remaining amount after he bought some biscuits
= 2 p
= 2 x 8.20
= $16.40
Remaining amount after he bought some biscuits = 1 u - 5.10
1 u - 5.10 = 16.40
1 u = 16.40 + 5.10
1 u = 21.50
Amount that Ivan spent on some biscuits
= 1 u + 5.10
= 21.50 + 5.10
= $26.60
Answer(s): $26.60
