Question

Question #d236b

Answer 1

The cost of one serving of pancake is `$4.25`

Explanation:

Let the total bill be `T`, the cost of a serving of pancake be `P` and the cost of the fruit cup be `C`

Since the total bill is 15% more than the cost of two servings of pancakes and one fruit cup,

`T = (2P + C)*(100%+15%)/(100%)`

Simplifying, you get

`T = (2P + C)*115/110`

`T = (2P + C)*23/20`

Now just expand the expression to get

`T = 23/20 * 2P + 23/20 * C`

Since `C = $1.50` and `T = $11.50`,

`$11.50 = 23/20 * 2P + 23/20 * $1.50`

After simplifying,

`$11.50 = 23/10 P + $1.725`

`23/10 P = $11.50 - $1.725`

`23/10 P = $9.775`

`P = 10/23 * $9.775`

`P = $4.25`