Four athletes, Wendy, Michelle, Brenda, and Jamal, scored in a soccer (football) game. If Michelle scored 1 more goal than Brenda did, Jamal scored 3 less than Wendy did, and Wendy scored 3 more than Michelle did, how many fewer goals did Brenda score than Jamal?	Choose the correct choice from the following answers
A) -8  B) -6  C) -2  D) -1  E) -3
In this word problem, the first key is to turn the story into equations:   Michelle scored 1 more than Brenda did: M = 1 + B   Jamal scored 3 less than Wendy did: J = W - 3   Wendy scored 3 more than Michelle did: W = 3 + M   Then, in classic GMAT style, the problem doesn't ask you to solve for a single variable, but instead to solve for the difference between B and J (how many more goals did Brenda score than Jamal did?). This means that your goal is to get the equations in terms of B and J so that you can solve for the expression B - J.   Taking the first equation and solving for B, you have B = M - 1.   Taking the second equation and solving for J you have J = W - 3, and then with the third equation you can replace W with 3 + M so that both B and J are in terms of M: J = (3 + M) - 3.   So if B = M - 1 and J = M, then:   B - J = (M - 1) - (M)   B - J = M - 1 - M (remove the parentheses by distributing the multiplication)   B - J = -1, so the answer is -1.
<result>D</result>
Four athletes, Wendy, Michelle, Brenda, and Jamal, scored in a soccer (football) game. If Michelle scored 1 more goal than Brenda did, Jamal scored 3 less than Wendy did, and Wendy scored 3 more than Michelle did, how many fewer goals did Brenda score than Jamal?