Question

An online company called “Animals Dressed as Humans” is making matching owner/dog socks for the upcoming winter. A total of 19 humans and dogs purchased socks. They sold a total of 60 individual socks. How many humans and how many dogs purchased socks to keep their feet warm?

Im having trouble setting up the equation

Answer 1

nevermind! ^_^

Answer 2

ok

Answer 3

let h= humans
let d= dogs

h+d=19
2h+4d=60

Answer 4

http://answers.yahoo.com/question/index?qid=20101101160907AAOwEp9

Answer 5

@yummydum correct answer

Answer 6

thats where i went actually lol

Answer 7

ok

Answer 8

so what was the solution ?

Answer 9

Allow x = humans and y = dogs. Then,

x + y = 19 represents the total number of orders that were placed.
2x + 4y = 60 represents the total number of socks that were sold (2 because humans have two feet and 4 because dogs have four feet).

Then, solve the first equation for x, to get x = 19 - y, and substitue this into the second equation for x. You get 2(19 - y) + 4y = 38 - 2y + 4y = 38 + 2y = 60. Subtract 38 from both sides to get 2y = 22 and divide both sides by 2 to get y = 11.

Finally substitute this value back into the first equation for y, to get x + 11 = 19, and by subtracting 11 from both sides, x = 8.

Therefore, 8 humans and 11 dogs purchased socks to keep their feet warm. To check, multiply 8(2) to get 16 and 11(4) to get 44, and 16 + 44 = 60!