You order two servings of pancakes and a fruit cup. the cost of the fruit cup is $1.50. you leave a 15% tip. your total bill is $11.50. how much does one serving of pancakes cost?

Let us assume cost of one serving of pancakes = $x

So, the cost of two serving of pancakes = 2 times of x = $2x.

Given cost of the fruit cup = $1.50

Ordered two servings of pancakes and a fruit cup.

Total billed amount = $11.50.

We can setup an equation now,

Cost of two serving of pancakes + cost of the fruit cup + 15%tip = $11.50.

2x + 1.50 + 15% of (2x+1.50) = 11.50.

2x+1.50 + 0.15*(2x+1.50) =11.50

2x+1.50 +0.30x + 0.225 =11.50

Combining like terms

2.30x + 1.725 =11.50

Subtracting 1.725 from both sides

2.30x + 1.725-1.725 = 11.50-1.725

2.30x = 9.775

Dividing both sides by 2.30.

2.30x/2.30 = 9.775/2.30.

On simplifying we get,

x= 4.25.

Therefore, the cost of one serving of pancakes = $4.25.