Justin bought some pastries. He bought some puffs with $8.30 more than half his money. He then bought some wafers with $6.10 less than half of his remaining money. He then had $12.70 left. How much did he pay for the puffs?
Puffs |
Remaining amount |
1 u + $8.30 |
1 u - $8.30 |
|
Wafers |
Left |
|
1 p - $6.10 |
1 p + $6.10 |
|
|
$12.70 |
Working backwards.
Amount that Justin had left = 1 p + 6.10
1 p + 6.10 = 12.70
1 p = 12.70 - 6.10 = 6.60
Remaining amount after he bought some puffs
= 2 p
= 2 x 6.60
= $13.20
Remaining amount after he bought some puffs = 1 u - 8.30
1 u - 8.30 = 13.20
1 u = 13.20 + 8.30
1 u = 21.50
Amount that Justin spent on some puffs
= 1 u + 8.30
= 21.50 + 8.30
= $29.80
Answer(s): $29.80