Final answer:
To determine the total marks of the test, we set up the equation where 0.30 times the total marks equals the score Mike needed to pass. Solving this equation, we find that the total marks of the test are 750.
Step-by-step explanation:
To find the total marks of the test from which Mike scored 212 marks and missed the pass mark by 13 marks, we need to set up an equation based on the information given. Mike needed 30% to pass, but he was 13 marks short of passing. Therefore, the marks needed to pass can be represented as 212 marks + 13 marks.
Let's denote the total marks of the test as T. Since Mike missed the pass mark by 13 marks, the pass mark would be 212 + 13, which gives us 225 marks. To find out what 30% of the total marks is, we set up the equation 0.30 × T = 225. To solve for T, we divide both sides of the equation by 0.30, resulting in T = 225 ÷ 0.30.
Now let's solve the equation:
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- 0.30 × T = 225
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- T = 225 ÷ 0.30
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- T = 750
The total marks of the test are 750.