Math

QuestionAaron, Betsy, and Charita work a total of 45 hours. If B=A+4B = A + 4 and A+B=12CA + B = \frac{1}{2}C, find AA, BB, and CC.

Studdy Solution

STEP 1

Question: If Betsy works 4 hours more each week than Aaron, which of the following equations correctly expresses Betsy's hours (B) in terms of Aaron's hours (A)?
A) B = A + 4 B) B = A - 4 C) B = 4A D) B = A / 4
Answer: A) B = A + 4

STEP 2

Question: If Aaron and Betsy together work half as many hours as Charita, which of the following equations correctly expresses Charita's hours (C) in terms of Aaron's (A) and Betsy's (B) hours?
A) C = 2(A + B) B) C = (A + B) / 2 C) C = A + B + 2 D) C = A + B - 2
Answer: A) C = 2(A + B)

STEP 3

Question: If B = A + 4 and C = 2(A + B), once we substitute B into the equation for C, what does C equal to?
A) C = 2A + 8 B) C = 4A + 8 C) C = 2A + 4 D) C = 4A + 4
Answer: B) C = 4A + 8

STEP 4

Question: If A + B + C = 45, A = 5.5 hours and B = 9.5 hours, how many hours does Charita (C) work each week?
A) 30 hours B) 35 hours C) 40 hours D) 45 hours
Answer: A) 30 hours

STEP 5

Question: If the total time worked by all three is 45 hours, which of the following is the correct equation to express this?
A) A + B + C = 45 B) A + B + C = 50 C) A + B = 45 - C D) A + B + C = 40
Answer: A) A + B + C = 45

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