Question

*EXTRA POINTS -- 8TH GRADE MATH* pls answer each one :)

Answer 1

What do the two variables in this system represent?

the two variables represent the number of hot dogs or soft drinks you will get.

Write a system of equations to represent the model.

let s = soft drinks and let h = hot dogs

3s+2h=7.70

2s+h=4.55

What is the cost of 1 soft drink? $1.4

What is the cost of 1 hot dog? $1.75

Solving for the above two questions

solve the second eqaution for h:

2s+h=4.55

subtract 2s

h=4.55-2s

substitute this into the first equation:

3s+2(4.55-2s)=7.70

distribute the 2

3s+9.1-4s=7.70

add like terms

-s+9.1=7.70

subtract 9.1

-s=-1.4

divide by -1

s=1.4

substitute into the equation for h:

h=4.55-2s

h=4.55-2(1.4)

h=4.55-2.8

h=1.75