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#