Question 1063455
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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 = {{{1245/15}}} = 83.

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