Daniel bought some pastries. He bought some shortbreads with $5.50 more than half his money. He then bought some biscuits with $1.40 less than half of his remaining money. He then had $6.50 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $5.50 |
1 u - $5.50 |
|
Biscuits |
Left |
|
1 p - $1.40 |
1 p + $1.40 |
|
|
$6.50 |
Working backwards.
Amount that Daniel had left = 1 p + 1.40
1 p + 1.40 = 6.50
1 p = 6.50 - 1.40 = 5.10
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 5.10
= $10.20
Remaining amount after he bought some shortbreads = 1 u - 5.50
1 u - 5.50 = 10.20
1 u = 10.20 + 5.50
1 u = 15.70
Amount that Daniel spent on some shortbreads
= 1 u + 5.50
= 15.70 + 5.50
= $21.20
Answer(s): $21.20