+299 Ralph went to the store and bought 12 pairs of socks for a total of $24. Some of the socks he bought cost $1 a pair, some of the socks he bought cost $3 a pair, and some of the socks he bought cost $4 a pair. If he bought at least one pair of each type, how many pairs of $1 socks did Ralph buy? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
+2864 Here is how u solve this (i solved this 2 days ago so the memory is fresh):
Set up equation -
x+y+z=12 (total socks)
x+3y+4z=24 (total money)
X is $1 socks, Y is $3 socks, and Z is $4 socks.
Use elimination to rid of X. -
2y+3z=12
Now guess and check the solutions for (y,z).
After guessing and checking, we find out that the only solution is (3,2).
So we substitute it back into our original equation x+y+z=12
And solve
x+3+2=12
x=7
Answer should be (D) 7
+2864 Here is how u solve this (i solved this 2 days ago so the memory is fresh):
Set up equation -
x+y+z=12 (total socks)
x+3y+4z=24 (total money)
X is $1 socks, Y is $3 socks, and Z is $4 socks.
Use elimination to rid of X. -
2y+3z=12
Now guess and check the solutions for (y,z).
After guessing and checking, we find out that the only solution is (3,2).
So we substitute it back into our original equation x+y+z=12
And solve
x+3+2=12
x=7
Answer should be (D) 7
