SOLUTION: Use two equations in two variables to solve the application.
Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Fi
Algebra ->
Coordinate Systems and Linear Equations
-> SOLUTION: Use two equations in two variables to solve the application.
Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Fi
Log On
Question 1152318: Use two equations in two variables to solve the application.
Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks. Found 3 solutions by VFBundy, MathTherapy, josgarithmetic:Answer by VFBundy(438) (Show Source):
You can put this solution on YOUR website! Cost of pair of socks = x
Cost of pair of shoes = y
4x + 2y = 111
5x + 3y = 160
Multiply the first equation by -1.5:
-1.5(4x + 2y) = -1.5(111)
-6x - 3y = -166.5
Now, your two equations are:
-6x - 3y = -166.5
5x + 3y = 160
Add the two equations together:
-x = -6.5
Solve for x:
x = 6.5
Cost of pair of socks = x = 6.5...or $6.50
You can put this solution on YOUR website!
Use two equations in two variables to solve the application.
Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks.
Let cost of 1 pair of shoes and 1 pair of socks be B and S, respectively
Then we get: 2B + 4S = 111 ------ eq (i)
Also, 3B + 5S = 160 ------ eq (ii)
B + S = 49_____B = 49 - S ----- Subtracting eq (i) from eq (ii) ----- eq (iii)
2(49 - S) + 4S = 111 ------ Substituting 49 - S for B in eq (i)
98 - 2S + 4S = 111
2S = 13
S, or cost of 1 pair of socks =
(