Simon bought some pastries. He bought some wafers with $6.30 more than half his money. He then bought some cupcakes with $7.40 less than half of his remaining money. He then had $12.50 left. How much did he pay for the wafers?
Wafers |
Remaining amount |
1 u + $6.30 |
1 u - $6.30 |
|
Cupcakes |
Left |
|
1 p - $7.40 |
1 p + $7.40 |
|
|
$12.50 |
Working backwards.
Amount that Simon had left = 1 p + 7.40
1 p + 7.40 = 12.50
1 p = 12.50 - 7.40 = 5.10
Remaining amount after he bought some wafers
= 2 p
= 2 x 5.10
= $10.20
Remaining amount after he bought some wafers = 1 u - 6.30
1 u - 6.30 = 10.20
1 u = 10.20 + 6.30
1 u = 16.50
Amount that Simon spent on some wafers
= 1 u + 6.30
= 16.50 + 6.30
= $22.80
Answer(s): $22.80