Question

A restaurant manager states the number of customers that enter the restaurant is equal to 4

times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also

states that the number of customers that enter their restaurant is equal to 1 times the number of

people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog

from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round

your answer to the nearest whole number.

Answer 1

9

Explanation:

No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.

The number of customers that enter their restaurant is equal to 1 times the number of people that buy a hotdog from the hotdog cart plus 38.

The equation that shows the given condition,

4x + 11 = 1x + 38

x is the no of people

Taking the like terms,

4x-1x=38-11

3x=27

x = 9

So, there are 9 people buying a hotdog from the hotdog cart.