Question

On a certain day, the Wilton County Jail had 183 prisoners. Of these, 127 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor

Answer 1

Let k be the number of prisoners convicted for both felony and misdemeanor.
x = 127 - k
y = 117 - k
Total prisoners = x + y + k = 183
(127 - k ) + k + (117 - k) = 183
244 - k = 183
k = 61