Question

shanice has 4 times as much many pairs of shoes as does her brother Ron. If Shanice gives Ron 12 pairs of shoes, she will have twice as many pairs of shoes as Ron does. How many pairs of shoes will Shanice have left after she gives Ron the shoes?a) 30b) 48c) 60d) 72

Answer 1

Shanice has 4 times as much many pairs of shoes as does her brother Ron, this means

`S=4R`

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

`S-12=2(R+12)`

Now we have two equations and two unknowns which we need to solve for.

Putting in S = 4R into the above equation gives

`4R-12=2(R+12)`
`\rightarrow4R-12=2R+24`
`2R=36`
`R=18.`

And therefore, since S = 4R

`S=72`

And since Shanice gives Ron 12 pairs of shoes, the number she will have left will be

`72-12=60`

Shanice will have left 60 shoes after she gives Ron 12 pairs.

Hence, choice C is the correct one.