Question

At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice and two pancake specials is $2.90.

Write a system of two equations to model this problem. Let j stand for the price of a glass of juice and let p stand for the price of a pancake special.


Use the substitution method to solve the system of equations.


What would be the bill for one glass of orange juice and one pancake special?


And then Solve the system by the linear combination method Show all work and then Graph the system of linear inequalities. Then state two possible solutions to the system.

Answer 1

1) 3j + 5p = 7.60 and 1j + 2p = 2.90

2) Solving for j and p
j = 2.90 - 2p

3(2.90 - 2p) + 5p = 7.60
8.7 - 6p + 5p = 7.60
8.7 - p = 7.60
-p = -1.1
p = 1.1

1j + 2(1.1) = 2.9
j + 2.2 = 2.9
j = .7

3) The values of p and q:
p = $1.1 per pancake, j = .70 cents per glass