Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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.

Sagot :

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