Write an equation to model each situation. Then solve the equation. (PLEASE solve QUICKLY)

Question

 General admission tickets to the fair cost $3.50 per person. Ride passes cost an additional $5.50 per person. Parking costs $6 for the family . There total costs for ride passes and parking was $51. How many people in the family attended the fair?

Answer 1

$3.50X + $5.50X +$6.00 = $$51.00 

 

X represents the number of people in the family. In order to solve for X you first subtract $6 from each side to cancel it (because you want to get X all by itself) 

 

$3.50X + $5.50X + $6.00 - $6.00 = $51.00 - $6.00

 

$3.50X + $5.50X = $45.00

 

Now all you have to do is combine "like terms." Since both of your terms have X as a variable, you can just add them together.

 

$9.00X = $45.00

 

Remember that your goal is to get X by itself because it represents the number of family members. In order to do that you would divide both sides by 9

 

$9.00X = $45.00

9.00     =    9.00

 

X = 5 family members

 

If you plug 5 back into the original equation you should get $51

 

Answer 2

Admission ticket.     $ 3.50/person

 

Ride.   ticket.          $ 5.50/person

 

Total person = $9/person

 

 

Parking for the family = $6 total

 

Say, total persons in the family =x

 

So,

 

9x +6 =51

 

9x=45

 

x=5

 

The persons in the family=5