logan asked his 20 coworkers whether they own a car or a truck. There were 6 more car owners than truck. How many people owned a car

Question

Dont even know

Answer 1

This is a word problem so you need to use variables to represent unknowns.  

 

x = # of car owners

y = # of truck owners

 

Since you know 20 people were asked....

 

x + y = 20

 

Then you know that there are 6 more car owners than truck owners...

 

x = y + 6

 

Use substitution for x....

 

(y + 6) + y = 20

 

Solve for y, which gives 7.  So there are 7 truck owners. Subtract this from 20, and you find that there are 13 car owners.  

Answer 2

Logan asked 20 coworkers so the total number of cars and trucks is 20. So,

Cars + Trucks = 20.

There are 6 more car owners than truck owners,

Cars = Trucks + 6.

Plugging the second equation into the first gives,

Trucks + 6 + Trucks = 20

combine like terms

2Trucks + 6 = 20

subtract 6 from both sides

2Trucks = 14

divide both sides by 2

Trucks = 7.

Now using the second equation to solve find the amount of cars,

Cars = 7 + 6

Cars = 13.

There are 7 trucks and 13 cars.

Answer 3

Number of trucks=T

Number of cars=6+T

cars+trucks=20

6+T+T=20

2T=14

T=7

cars=6+7

Answer:13 people owned a car.