Question

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x+2y=3.25

Answer 1

p + 2c = 3.25                            Start with these two equations
3p + 4c = 7.25

p = -2c + 3.25                           Solve for one variable

3(-2c +3.25) + 4c = 7.25           Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1

p + 2(1) = 3.25                           Substitute
p + 2 = 3.25
p = 1.25


A bag of chips costs $1
A pickle costs $1.25

Answer 2

Answer:

p + 2c = 3.25                            Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25                           Solve for one variable

3(-2c +3.25) + 4c = 7.25           Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25                           Substitute

p + 2 = 3.25

p = 1.25

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

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