Neave bought some pastries. He bought some biscuits with $6.10 more than half his money. He then bought some macarons with $4.20 less than half of his remaining money. He then had $7.40 left. How much did he pay for the biscuits?
Biscuits |
Remaining amount |
1 u + $6.10 |
1 u - $6.10 |
|
Macarons |
Left |
|
1 p - $4.20 |
1 p + $4.20 |
|
|
$7.40 |
Working backwards.
Amount that Neave had left = 1 p + 4.20
1 p + 4.20 = 7.40
1 p = 7.40 - 4.20 = 3.20
Remaining amount after he bought some biscuits
= 2 p
= 2 x 3.20
= $6.40
Remaining amount after he bought some biscuits = 1 u - 6.10
1 u - 6.10 = 6.40
1 u = 6.40 + 6.10
1 u = 12.50
Amount that Neave spent on some biscuits
= 1 u + 6.10
= 12.50 + 6.10
= $18.60
Answer(s): $18.60