Question

Population of linton is 12 times as great as the population of Ellmore. The combined population of both towns is 9,646 people. What is the population of Linton?

Answer 1

8904 and 704 are the answers so yea ya do what's good for u need any help congatact meh

Answer 2

Let "L" represent the population of Linton
and "E" represent the population of Ellmore

12 times E = L
because "Linton is 12 times as great as .. Ellmore"

then  E + L = 9646
because "the combined population is 9646"

since  L = 12*E
we can plug that into the other equation and get:
E + 12*E = 9646
13*E = 9646   [by adding like terms]
E = 742   [by divided both sides by 13]

so now we have E
we can plug that back into the 1st equation to get L
12*(742) = L
L = 8904

so Population of Linton = 8904
and the Population of Ellmore = 742