Michael bought some pastries. He bought some puffs with $7.70 more than half his money. He then bought some shortbreads with $6.60 less than half of his remaining money. He then had $12.50 left. How much did he pay for the puffs?
| Puffs |
Remaining amount |
| 1 u + $7.70 |
1 u - $7.70 |
| |
Shortbreads |
Left |
| |
1 p - $6.60 |
1 p + $6.60 |
| |
|
$12.50 |
Working backwards.
Amount that Michael had left = 1 p + 6.60
1 p + 6.60 = 12.50
1 p = 12.50 - 6.60 = 5.90
Remaining amount after he bought some puffs
= 2 p
= 2 x 5.90
= $11.80
Remaining amount after he bought some puffs = 1 u - 7.70
1 u - 7.70 = 11.80
1 u = 11.80 + 7.70
1 u = 19.50
Amount that Michael spent on some puffs
= 1 u + 7.70
= 19.50 + 7.70
= $27.20
Answer(s): $27.20
