25. The fine for a driver riding in the carpool lane without any passengers is $133. A driver is issued a bench warrant for $2,294.25, which includes a 15% fee for late charges and court costs. How many tickets has the driver not paid?

A. 10
B. 12
C. 13
D. 14
E. 15

Show me the equation if there is one

Question

25. The fine for a driver riding in the carpool lane without any passengers is $133. A driver is issued a bench warrant for $2,294.25, which includes a 15% fee for late charges and court costs. How many tickets has the driver not paid? 

A. 10 
B. 12 
C. 13 
D. 14 
E. 15 

Show me the equation if there is one

mathstudent55 · Answer

$2294.25 is the amount of the combined tickets.

Since each ticket is $133 and you don't know how many tickets there are, call the number of tickets, x. Then total amount of money owed for the tickets is 133x.

The 15% charge is on the total amount owed for the tickets,. That is 15% of 133x. That is 15%(133x).

The total amount of the tickets plus the fee equals 2294.25

133x + 15%(133)x = 2294.25
133x + 0.15(133)x = 2294.25

Solve this equation for x to get the number of tickets.