A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money R did Bob receive?	Choose the correct answer
A) 20 B) 22 C) 24 D) 26 E) 52
Notice that we need not consider Ann's portion in the solution. We can just let K = the money REMAINING after Ann has received her portion and go from there.   Our equation will use the fact that, once we remove Bob's portion, we have $32 for Chloe.   So, we getK - Bob's $ = 32   Bob received 4 dollars plus one-third of what remained   Once Bob receives $4, the amount remaining is K-4 dollars. So, Bob gets a 1/3 of that as well.   1/3 of K-4 is (K-4)/3   So ALTOGETHER, 22ob receives4 + (K-4)/3   So, our equation becomes:K -[4 + (K-4)/3 ]= 32   Simplify to get: K - 4 - (K-4)/3 = 32   Multiply both sides by 3 to get: 3K - 12 - K + 4 = 96   Simplify: 2K - 8 = 96   Solve: K = 52   Plug this K-value intoK - 22ob's $ = 32to get: 52 - 22ob's $ = 32   So, 22ob's $ R= 20   Answer:   22
<result>B</result>
A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money R did Bob receive?