Best Answer Explained in Below-:

Let R be the number of rented residences and O be the number of owned residences.According to the given information, we have the ratio of rented to owned residences as 7:4:R/O = 7/4We are also given that there are 150 more rented residences than owned residences:R = O + 150Now, we can set up a system of equations to solve for R and O:R/O = 7/4R = O + 150To eliminate R, we can use the second equation:R = O + 150Now, substitute this expression for R into the first equation:(O + 150)/O = 7/4Cross-multiply to solve for O:4(O + 150) = 7O4O + 600 = 7OSubtract 4O from both sides:600 = 3ONow, divide by 3:O = 600/3 O = 200Now that we know the number of owned residences (O), we can find the number of rented residences (R) using the second equation:R = O + 150 R = 200 + 150 R = 350So, there are 200 owned residences and 350 rented residences in the town. To find the total number of residences, simply add these two numbers together:Total = Owned + Rented Total = 200 + 350 Total = 550Therefore, the total number of residences in the town is 550.