Justin bought some pastries. He bought some shortbreads with $8.70 more than half his money. He then bought some puffs with $2.20 less than half of his remaining money. He then had $10.90 left. How much did he pay for the shortbreads?
Shortbreads |
Remaining amount |
1 u + $8.70 |
1 u - $8.70 |
|
Puffs |
Left |
|
1 p - $2.20 |
1 p + $2.20 |
|
|
$10.90 |
Working backwards.
Amount that Justin had left = 1 p + 2.20
1 p + 2.20 = 10.90
1 p = 10.90 - 2.20 = 8.70
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 8.70
= $17.40
Remaining amount after he bought some shortbreads = 1 u - 8.70
1 u - 8.70 = 17.40
1 u = 17.40 + 8.70
1 u = 26.10
Amount that Justin spent on some shortbreads
= 1 u + 8.70
= 26.10 + 8.70
= $34.80
Answer(s): $34.80