David has d books, which is 1/2 times as many as Jeff and 3 as many as Paula. How many books do the three of them have altogether, in terms of d?	Select the correct option.
A) 5/6*d  B) 10/3*d  C) 7/3*d  D) 7/2*d  E) 9/2*d
Although we could plug in a real value for d, the problem can be just as easily solved by setting up equations. However, let’s start by defining some variables. Since we are given that David has d books, we can use variable d to represent how many books David has.   number of books David has = d   number of books Jeff has = j   number of books Paula has = p   We are given that David has 3 times as many books as Jeff. We can now express this in an equation.   d = 3p   d/3 = p   We are also given that David has ½ as many books as Paula. We can also express this in an equation.   d = (1/2)j   2d = j   Notice that we immediately solved forj in terms of d and p in terms of d. Getting j and p in terms of d is useful when setting up our final expression. We need to determine, in terms of d, the sum of the number of books for David, Jeff, and Paula. Thus, we have:   d + d/3 + 2d   Getting a common denominator of 3, we have:   3d/3 + d/3 + 6d/3 = 10d/3 = 10/3*d   The answer is 10/3*d
<result>B</result>
David has d books, which is 1/2 times as many as Jeff and 3 as many as Paula. How many books do the three of them have altogether, in terms of d?