At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $8.40, whereas the bill for one glass of orange juice and two pancake specials is $3.25.

Question

Write a system of two equations to model this problem. Let g stand for the price of a glass of juice and let p stand for the price of a pancake special. Use the method of your choice to solve the system of equations. What would be the bill for one glass of orange juice and one pancake special.

Answer 1

Let g = the price of a glass of orange juice

Let p = the price of a pancake special

3g + 5p = 8.40

g + 2p = 3.25 Multiply this equation by -3 and add it to the previous equation.

3g + 5p = 8.40

-3g - 6p = -9.75

-6p = -1.35

p = $1.35

g + 2p = 3.25

g + 2(1.35) = 3.25

g + 2.70 = 3.25

g = $.55