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 9. The manager also states that the number of customers that enter their restaurant is equal to 3 times the number of people that buy a hotdog from the hotdog cart plus 35. What number of people buying a hotdog from the hotdog cart across the street makes the equation 4x+9=3x+35 true? Round your answer to the nearest whole number.

26 customers

Step-by-step explanation:

Represent customers entering as y and those buying hot dogs as x

Required

Determine the number of people buying hotdogs (x)

Substitute 4x + 9 for y in the second equation

Collect Like Terms

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1