Question

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. PLz help


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

Answer:

A. 3j+5p=7.60; 1j+2p=2.90

B. (j, p) = (0.70, 1.10)

C. $1.80

Step-by-step explanation:

A. The bill is calculated by adding the products of quantity and price.

... 3j + 5p = 7.60 . . . . . . first bill

... 1j + 2p = 2.90 . . . . . . second bill

B. It is convenient to use the second equation to write an expression for j, then substitute that into the first equation.

... j = 2.90 -2p

... 3(2.90 -2p) +5p = 7.60 . . . . . substitute for j

... 8.70 -p = 7.60 . . . . . . . . . . . . eliminate parentheses, collect terms

... 1.10 = p . . . . . . . . . . . . . . . . . . add p-7.60

... j = 2.90 -2·1.10 . . . . put the value for p into the expression for j

... j = 0.70

C. j + p = 0.70 + 1.10 = 1.80

The cost of a juice and pancake special is $1.80.