Neave bought some pastries. He bought some macarons with $6.90 more than half his money. He then bought some shortbreads with $4.30 less than half of his remaining money. He then had $6.50 left. How much did he pay for the macarons?
Macarons |
Remaining amount |
1 u + $6.90 |
1 u - $6.90 |
|
Shortbreads |
Left |
|
1 p - $4.30 |
1 p + $4.30 |
|
|
$6.50 |
Working backwards.
Amount that Neave had left = 1 p + 4.30
1 p + 4.30 = 6.50
1 p = 6.50 - 4.30 = 2.20
Remaining amount after he bought some macarons
= 2 p
= 2 x 2.20
= $4.40
Remaining amount after he bought some macarons = 1 u - 6.90
1 u - 6.90 = 4.40
1 u = 4.40 + 6.90
1 u = 11.30
Amount that Neave spent on some macarons
= 1 u + 6.90
= 11.30 + 6.90
= $18.20
Answer(s): $18.20