All the hours together are 6 hours
Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.
x+y=170 (We know that soda + dogs is 170)
x-50=y (We know that dogs is equal to 50 less than sodas)
We can use substitution to solve this system of equations.
x+y=170
Sub in the value of y from the second equation
x+(x-50)=170
2x-50=170
2x=220
x=110
We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.
x+y=170
110+y=170
y=60
So, there were 60 hotdogs sold and 110 sodas sold.
The answer is 25, 33. The difference between each consecutive number is 8.
Answer:
2 sessions, $231
Step-by-step explanation:
Make an equation (let x represent the number of sessions)
59+86x=63+84x
Subtract 84x from both sides
59+2x=63
Subtract 59 from both sides
2x=4
Divide by 2
x=2
At 2 sessions they will be equal
To find the cost, substitute 2 in for x
59+86(2)=63+84(2)
59+172=63+168
231=231
So, at 2 sessions the plans will cost the same at $231
Hope this helps! :)
