In a certain two 65 % families own cell phones, 15000 families own scooter and 15 % families own both. Taking into consideration that the families own at least one of the two, the total number of families in the town is

Step-by-step solution

Let the total number of families be x . Let A= number of families that own cell phones n(A)= 65 100 x Let B= number of families that own scooter n(B)=15000 and (A B)= number of families that own cell phones and scooter both n(A B)= 15 100 x Here, n(A B)=xn(A B)=n(A)+n(B)-n(A B)x= 65 x 100 +15000- 15 x 100 aligned & & 100 x &=65 x+1500000-15 x & & 100 x-50 x &=1500000 & & 50 x &=1500000 & & x &=30000 aligned Total number of families in the town is 30000 .