Peter bought some pastries. He bought some puffs with $5.20 more than half his money. He then bought some cookies with $6.90 less than half of his remaining money. He then had $13.60 left. How much did he pay for the puffs?
| Puffs |
Remaining amount |
| 1 u + $5.20 |
1 u - $5.20 |
| |
Cookies |
Left |
| |
1 p - $6.90 |
1 p + $6.90 |
| |
|
$13.60 |
Working backwards.
Amount that Peter had left = 1 p + 6.90
1 p + 6.90 = 13.60
1 p = 13.60 - 6.90 = 6.70
Remaining amount after he bought some puffs
= 2 p
= 2 x 6.70
= $13.40
Remaining amount after he bought some puffs = 1 u - 5.20
1 u - 5.20 = 13.40
1 u = 13.40 + 5.20
1 u = 18.60
Amount that Peter spent on some puffs
= 1 u + 5.20
= 18.60 + 5.20
= $23.80
Answer(s): $23.80
