Question

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Answer 1

The question is; 1. 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.
a. 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.
b. Use the substitution method to solve the system of equations.
c. What would be the bill for one glass of orange juice and one pancake special?

Answer 2

My answer is:

Answer 3

7.6 = 3j + 5p
2.9 = 1j + 2p
isolate “J” from the second equation, then substitute it in the first equation
second equation:
2.9 = 1j + 2p
j = 2.9 - 2p

substitute this value in first equation :
7.6 = 3(2.9-2p) + 5p
Solve for p;
7.6=8.7-1p
So,
7,6 = 8.7 – p
7.6 - 8.7 = -p
-1.1 = -p
1.1 = p
so the price of one pancake is $1.1

now ill plug it into the second equation

plug it in second equation :
2.9 = 1j + 2p
2.9 = 1j + 2*1.1
2.9 = j + 2.2
0.7 = j
j = 0.7

so the solution is ; p = 1.1,~~j = 0.7
so $1.1 pancake, and $0.7 juice

So the total price needed to pay is $1.71

Answer 4

@Nnesha