Harry bought some pastries. He bought some macarons with $7.30 more than half his money. He then bought some wafers with $1.40 less than half of his remaining money. He then had $4.20 left. How much did he pay for the macarons?
Macarons |
Remaining amount |
1 u + $7.30 |
1 u - $7.30 |
|
Wafers |
Left |
|
1 p - $1.40 |
1 p + $1.40 |
|
|
$4.20 |
Working backwards.
Amount that Harry had left = 1 p + 1.40
1 p + 1.40 = 4.20
1 p = 4.20 - 1.40 = 2.80
Remaining amount after he bought some macarons
= 2 p
= 2 x 2.80
= $5.60
Remaining amount after he bought some macarons = 1 u - 7.30
1 u - 7.30 = 5.60
1 u = 5.60 + 7.30
1 u = 12.90
Amount that Harry spent on some macarons
= 1 u + 7.30
= 12.90 + 7.30
= $20.20
Answer(s): $20.20