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marissa [1.9K]
3 years ago
8

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.
Mathematics
1 answer:
yarga [219]3 years ago
5 0

Answer:

26 customers

Step-by-step explanation:

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

y = 4x + 9

y = 3x + 35

Required

Determine the number of people buying hotdogs (x)

Substitute 4x + 9 for y in the second equation

4x + 9 = 3x + 35

Collect Like Terms

4x - 3x = 35 - 9

x = 26

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