Question

1. At a fundraiser breakfast, the bill for 3 glasses of orange juice and 5 pancake specials is $7.60, whereas the bill for 1 glass of orange juice and 2 pancake specials is $2.90.
a. Write a system of 2 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.
b. Use the substitution method to solve the system of equations.
c. What would the bill be for 1 glass of orange juice and 1 pancake special?

Answer 1

Using the statement and the condition in letter a. The expressions that could represent are:
3j + 5p = 7.60
j + 2p = 2.90

From the equation, we will now equate each other to have the value of j and p, so j = -2p + 2.90:
3(-2p + 2.90) + 5p = 7.60
-6p + 8.70 + 5p = 7.60
-p = -1.10
p= 1.10

j = -2(1.10) +2.90
j = -2.20 + 2.90
j = 0.70