Question

A restaurant manager states the number of customers that enter the

restaurant is equal to 3 times the number of people that buy a hotdog from
the hotdog cart plus 15.
The manager also states that the number of customers that enter their
restaurant is equal to 2 times the number of people that buy a hotdog from
the hotdog cart plus 60.
What number of people buying a hotdog from the hotdog cart across the
street makes the equation 3x +15 = 2x +60 true?

Answer 1

Yes it is true because if 3x +15=2x+60 it is true

Answer 2

Yes, that is true, and x=45.

Explanation:

Yes, that's how you set up the equation I also listed the sets to solve it below:

3x+15=2x+60

-2x. -2x

--------------------

x+15=60

-15 -15

------------------

x=45

You can also plug it in to check your work.

3(45)+15=2(45)+60

135+15=90+60

150=150