During one calendar year, a state trooper issued a total of 375 citations for warnings and speeding tickets. Of these, there were 37 more warnings than speeding tickets. How many warnings and how many speeding tickets were issued?
Let x = speeding tickets.
x + x + 37 = 375
Solve for x.
To find the number of warnings and speeding tickets issued, we can set up a system of equations based on the given information.
Let's assume the number of speeding tickets issued is 'x'.
According to the information given, the number of warnings issued would be 'x + 37' (37 more warnings than speeding tickets).
The total number of citations issued is 375, so we can create the following equation:
x + (x + 37) = 375
Now, we can solve this equation to find the values of 'x' and 'x + 37'.
Combining like terms:
2x + 37 = 375
Subtracting 37 from both sides:
2x = 375 - 37
2x = 338
Dividing both sides by 2:
x = 338 / 2
x = 169
Therefore, the number of speeding tickets issued is 169.
To find the number of warnings issued, we can substitute this value back into our equation:
Warnings = x + 37
Warnings = 169 + 37
Warnings = 206
Hence, there were 206 warnings and 169 speeding tickets issued during the calendar year.