A couple is about the get married. They decide to start a joint bank account to save for a house. They want to have an initial investment of $9000. The first partner contributes $350 more than three-quarters what the second partner contributes. How much does each partner contribute?
A) P1 = 4557.14, P2 = 4442.86
B) P1 = 3557.14, P2 = 5452.86
C) P1 = 4057.14, P2 = 4942.86
D) P1 = 5057.14, P2 = 3942.86
E) P1 = 5857.14, P2 = 3992.86

Question

Quizplus · Accepted Answer

Let the amount contributed by the second partner be x.
Then, the amount contributed by the first partner would be (3x/4) + 350.
Together, they contribute x + (3x/4) + 350 = (7x/4) + 350.
Since the total initial investment is $9000, we have (7x/4) + 350 = 9000.
Solving for x, we get x = 4942.86.
Therefore, the first partner contributed (3*4942.86/4) + 350 = $4057.14.
Thus, the contributions of the partners are $4942.86 and $4057.14, which is option C.

A Couple Is About the Get Married