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Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam? 32 40 44 48

Respuesta :

Answer:

44

Step-by-step explanation:

Let x and y be the total number of questions in part 1 and part 2 exams respectively.

For part 1:

Number of correct question = 4/5 of the total number of question in part 1

[tex]\Rightarrow 16=\frac{4}{5}\times x[/tex]

[tex]\Rightarrow x=20[/tex]

For part 2:

Number of corrected question = 2/3 of total number of question in part 2

[tex]\Rightarrow 16=\frac{2}{3}\times x[/tex]

[tex]\Rightarrow x=24[/tex]

So, the total umbers of the questions on Stephanie's exam

=x+y

=20+24

=44

Hence, the total umbers of the questions on Stephanie's exam was 44.

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