SOLUTION: During the month of may, county sheriffs department was issued 117 traffic tickets for speeding or failing to wear seat belts. The fine was $50 and the fine for failing to wear a s

Question 1063455: During the month of may, county sheriffs department was issued 117 traffic tickets for speeding or failing to wear seat belts. The fine was $50 and the fine for failing to wear a seat belt was $35. If the sherif department collected $5340 in fines from these two citations, how many of each tickets were issued?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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During the month of may, county sheriffs department was issued 117 traffic tickets for speeding or failing to wear seat belts.
The fine was $50 and the fine for failing to wear a seat belt was $35. If the sherif department collected $5340 in fines from
these two citations, how many of each tickets were issued?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let "x" be the number of tickets for speeding.
Then the number of "failing to wear seat bells" was (117-x).

Your "value" equation is

50x + 35*(117-x) = 5340.

Simplify and solve for x:

50x + 35*117 - 35x = 5340,

15x = 5340 - 4095  --->  15x = 1245  --->  x =  = 83.

Answer. 83 tickets for speeding and 117-83 = 34 tickets for failing to wear seat bells.

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