Oscar bought some pastries. He bought some muffins with $9.30 more than half his money. He then bought some shortbreads with $4.70 less than half of his remaining money. He then had $12.10 left. How much did he pay for the muffins?
Muffins |
Remaining amount |
1 u + $9.30 |
1 u - $9.30 |
|
Shortbreads |
Left |
|
1 p - $4.70 |
1 p + $4.70 |
|
|
$12.10 |
Working backwards.
Amount that Oscar had left = 1 p + 4.70
1 p + 4.70 = 12.10
1 p = 12.10 - 4.70 = 7.40
Remaining amount after he bought some muffins
= 2 p
= 2 x 7.40
= $14.80
Remaining amount after he bought some muffins = 1 u - 9.30
1 u - 9.30 = 14.80
1 u = 14.80 + 9.30
1 u = 24.10
Amount that Oscar spent on some muffins
= 1 u + 9.30
= 24.10 + 9.30
= $33.40
Answer(s): $33.40