Oliver bought some pastries. He bought some scones with $6.80 more than half his money. He then bought some cookies with $3.40 less than half of his remaining money. He then had $11.30 left. How much did he pay for the scones?
Scones |
Remaining amount |
1 u + $6.80 |
1 u - $6.80 |
|
Cookies |
Left |
|
1 p - $3.40 |
1 p + $3.40 |
|
|
$11.30 |
Working backwards.
Amount that Oliver had left = 1 p + 3.40
1 p + 3.40 = 11.30
1 p = 11.30 - 3.40 = 7.90
Remaining amount after he bought some scones
= 2 p
= 2 x 7.90
= $15.80
Remaining amount after he bought some scones = 1 u - 6.80
1 u - 6.80 = 15.80
1 u = 15.80 + 6.80
1 u = 22.60
Amount that Oliver spent on some scones
= 1 u + 6.80
= 22.60 + 6.80
= $29.40
Answer(s): $29.40