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
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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(52794) (Show Source):
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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?
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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.
