Charlie bought some pastries. He bought some shortbreads with $5.20 more than half his money. He then bought some puffs with $6.70 less than half of his remaining money. He then had $14.90 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $5.20 |
1 u - $5.20 |
|
Puffs |
Left |
|
1 p - $6.70 |
1 p + $6.70 |
|
|
$14.90 |
Working backwards.
Amount that Charlie had left = 1 p + 6.70
1 p + 6.70 = 14.90
1 p = 14.90 - 6.70 = 8.20
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 8.20
= $16.40
Remaining amount after he bought some shortbreads = 1 u - 5.20
1 u - 5.20 = 16.40
1 u = 16.40 + 5.20
1 u = 21.60
Amount that Charlie spent on some shortbreads
= 1 u + 5.20
= 21.60 + 5.20
= $26.80
Answer(s): $26.80