SOLUTION: Stephanie took a science exam that had two parts. • Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. • Part 2: She got 16 questions corr

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Stephanie took a science exam that had two parts. • Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. • Part 2: She got 16 questions corr      Log On


   

Question 1184278: Stephanie took a science exam that had two parts.
• Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions.
• Part 2: She got 16 questions correct, which was 2/3 of the number of part
2 questions.
What was the total number of questions on Stephanie’s exam?
A. 32
B. 40
C. 44
D. 48
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

Part 1: She got 16 questions correct, which was 4%2F5 of the number of part 1 questions.
Let x = total number of questions in part 1
%284%2F5+%29x=16
x=16%2F%284%2F5+%29
x=%2816%2A5%29%2F4
x=4%2A5
x=20
• Part 2: She got 16 questions correct, which was 2%2F3 of the number of part
Let y = number of questions in part 2
%282%2F3+%29y=16
y=16%2F%282%2F3+%29
y=%2816%2A3%29%2F2
y=8%2A3
y=24
all together: +20%2B24=44
answer: C. 44