Perry bought some pastries. He bought some shortbreads with $9.10 more than half his money. He then bought some muffins with $4.60 less than half of his remaining money. He then had $10.40 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $9.10 |
1 u - $9.10 |
|
Muffins |
Left |
|
1 p - $4.60 |
1 p + $4.60 |
|
|
$10.40 |
Working backwards.
Amount that Perry had left = 1 p + 4.60
1 p + 4.60 = 10.40
1 p = 10.40 - 4.60 = 5.80
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 5.80
= $11.60
Remaining amount after he bought some shortbreads = 1 u - 9.10
1 u - 9.10 = 11.60
1 u = 11.60 + 9.10
1 u = 20.70
Amount that Perry spent on some shortbreads
= 1 u + 9.10
= 20.70 + 9.10
= $29.80
Answer(s): $29.80