Julian bought some pastries. He bought some muffins with $8.70 more than half his money. He then bought some croissants with $2.50 less than half of his remaining money. He then had $9.40 left. How much did he pay for the muffins?
Muffins |
Remaining amount |
1 u + $8.70 |
1 u - $8.70 |
|
Croissants |
Left |
|
1 p - $2.50 |
1 p + $2.50 |
|
|
$9.40 |
Working backwards.
Amount that Julian had left = 1 p + 2.50
1 p + 2.50 = 9.40
1 p = 9.40 - 2.50 = 6.90
Remaining amount after he bought some muffins
= 2 p
= 2 x 6.90
= $13.80
Remaining amount after he bought some muffins = 1 u - 8.70
1 u - 8.70 = 13.80
1 u = 13.80 + 8.70
1 u = 22.50
Amount that Julian spent on some muffins
= 1 u + 8.70
= 22.50 + 8.70
= $31.20
Answer(s): $31.20