Vaidev bought some pastries. He bought some shortbreads with $7.90 more than half his money. He then bought some biscuits with $7.40 less than half of his remaining money. He then had $11.30 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $7.90 |
1 u - $7.90 |
|
Biscuits |
Left |
|
1 p - $7.40 |
1 p + $7.40 |
|
|
$11.30 |
Working backwards.
Amount that Vaidev had left = 1 p + 7.40
1 p + 7.40 = 11.30
1 p = 11.30 - 7.40 = 3.90
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 3.90
= $7.80
Remaining amount after he bought some shortbreads = 1 u - 7.90
1 u - 7.90 = 7.80
1 u = 7.80 + 7.90
1 u = 15.70
Amount that Vaidev spent on some shortbreads
= 1 u + 7.90
= 15.70 + 7.90
= $23.60
Answer(s): $23.60