Problema Solution
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?
Answer provided by our tutors
Let 'x' be the number of warnings and 'y' be the number of speeding tickets and x and y are non-negative integer.
We need to find x and y.
We know that the total of warnings and speeding tickets is 375 that is x + y = 375.
There are 37 more warnings then speeding tickets that is x + 37 = y.
Now we have the system of two linear equations:
x + y = 375 .....(1)
x + 37 = y .......(2)
that is
x + y = 375 .....(1)
y = x + 37 .......(2)
We substitute y from (2) in (1) and get:
x + x + 37 = 375
2x = 375 - 37
2x = 338
x = 338 / 2
x = 169 warnings
y = 169 + 37
y = 206 speeding tickets
169 warnings and 206 speeding tickets were issued.