Reggie bought some pastries. He bought some cookies with $6.70 more than half his money. He then bought some puffs with $7.30 less than half of his remaining money. He then had $16.20 left. How much did he pay for the cookies?
| Cookies |
Remaining amount |
| 1 u + $6.70 |
1 u - $6.70 |
| |
Puffs |
Left |
| |
1 p - $7.30 |
1 p + $7.30 |
| |
|
$16.20 |
Working backwards.
Amount that Reggie had left = 1 p + 7.30
1 p + 7.30 = 16.20
1 p = 16.20 - 7.30 = 8.90
Remaining amount after he bought some cookies
= 2 p
= 2 x 8.90
= $17.80
Remaining amount after he bought some cookies = 1 u - 6.70
1 u - 6.70 = 17.80
1 u = 17.80 + 6.70
1 u = 24.50
Amount that Reggie spent on some cookies
= 1 u + 6.70
= 24.50 + 6.70
= $31.20
Answer(s): $31.20
