During the analyses of assignment 1 and assignment 2 of RSK4803, the assessors found the following: · 70% of students passed assignment 1. · 45% of students passed assignment 2. · 30% of students passed both assignments. Question How many students passed assignment 1, if there are 800 students who are registered for the module but 600 submitted assignment 1. a. 800 b. 600 c. 560 d. 420

Mathematics

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Step-by-step solution

2 steps
  1. Identify the relevant information.

    The question asks for the number of students who passed assignment 1.
    We are given that 70% of students passed assignment 1.
    We are also told that 600 students submitted assignment 1.

  2. Calculate the number of students who passed assignment 1.

    To find the number of students who passed assignment 1, we need to apply the percentage of students who passed to the total number of students who submitted that assignment.

    Number of students passed Assignment 1=Percentage passed Assignment 1×Number of students who submitted Assignment 1\text{Number of students passed Assignment 1} = \text{Percentage passed Assignment 1} \times \text{Number of students who submitted Assignment 1} Number of students passed Assignment 1=70%×600\text{Number of students passed Assignment 1} = 70\% \times 600 Number of students passed Assignment 1=0.70×600\text{Number of students passed Assignment 1} = 0.70 \times 600 Number of students passed Assignment 1=420\text{Number of students passed Assignment 1} = 420

    The final answer is 420\boxed{\text{420}}.

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