Mark bought some pastries. He bought some wafers with $5.70 more than half his money. He then bought some muffins with $2.60 less than half of his remaining money. He then had $6.70 left. How much did he pay for the wafers?
Wafers |
Remaining amount |
1 u + $5.70 |
1 u - $5.70 |
|
Muffins |
Left |
|
1 p - $2.60 |
1 p + $2.60 |
|
|
$6.70 |
Working backwards.
Amount that Mark had left = 1 p + 2.60
1 p + 2.60 = 6.70
1 p = 6.70 - 2.60 = 4.10
Remaining amount after he bought some wafers
= 2 p
= 2 x 4.10
= $8.20
Remaining amount after he bought some wafers = 1 u - 5.70
1 u - 5.70 = 8.20
1 u = 8.20 + 5.70
1 u = 13.90
Amount that Mark spent on some wafers
= 1 u + 5.70
= 13.90 + 5.70
= $19.60
Answer(s): $19.60