Question

question 3 of 10
checking account a charges a monthly service fee of $20 and a wire transfer fee of $3, while checking account b charges a monthly service fee of $30 and a wire transfer fee of $2. how many transfers would a person have to have for the two accounts to cost the same?

a. 10

b. 21

c. 31

d. 0

Explanation:

Step1: Define Variables

Let \( x \) be the number of wire transfers.

Step2: Write Cost Equations

For account A: Cost \( C_A = 20 + 3x \)
For account B: Cost \( C_B = 30 + 2x \)

Step3: Set Costs Equal

Set \( C_A = C_B \):
\( 20 + 3x = 30 + 2x \)

Step4: Solve for \( x \)

Subtract \( 2x \) and 20 from both sides:
\( 3x - 2x = 30 - 20 \)
\( x = 10 \)

Answer:

A. 10