Shanice has 4 times as much many pairs of shoes as does her brother Ron, this means
[tex]S=4R[/tex]where S is the number of shoes Shanice has and R is the number Ron has.
If Shanice gives Ron 12 pairs of shoes, she will have twice as many pairs of shoes as Ron does. This statement translates to
[tex]S-12=2(R+12)[/tex]Now we have two equations and two unknowns which we need to solve for.
Putting in S = 4R into the above equation gives
[tex]4R-12=2(R+12)[/tex][tex]\rightarrow4R-12=2R+24[/tex][tex]2R=36[/tex][tex]R=18.[/tex]And therefore, since S = 4R
[tex]S=72[/tex]And since Shanice gives Ron 12 pairs of shoes, the number she will have left will be
[tex]72-12=60[/tex]Shanice will have left 60 shoes after she gives Ron 12 pairs.
Hence, choice C is the correct one.
