The 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? Please answer in a way I can understand, not too complex.
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
