Question #d236b

1 Answer
Sep 21, 2017

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