Jenson bought some pastries. He bought some wafers with $8.30 more than half his money. He then bought some cookies with $5.20 less than half of his remaining money. He then had $13.80 left. How much did he pay for the wafers?
Wafers |
Remaining amount |
1 u + $8.30 |
1 u - $8.30 |
|
Cookies |
Left |
|
1 p - $5.20 |
1 p + $5.20 |
|
|
$13.80 |
Working backwards.
Amount that Jenson had left = 1 p + 5.20
1 p + 5.20 = 13.80
1 p = 13.80 - 5.20 = 8.60
Remaining amount after he bought some wafers
= 2 p
= 2 x 8.60
= $17.20
Remaining amount after he bought some wafers = 1 u - 8.30
1 u - 8.30 = 17.20
1 u = 17.20 + 8.30
1 u = 25.50
Amount that Jenson spent on some wafers
= 1 u + 8.30
= 25.50 + 8.30
= $33.80
Answer(s): $33.80