Problem

A student missed 7 problems on a mathematics test and received a grade of $95 \%$. If all the problems were of equal value, how many problems were on the test?

Answer 3 Points

Answer

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Answer

Final Answer: There were \(\boxed{140}\) problems on the test.

Steps

Step 1 :A student missed 7 problems on a mathematics test and received a grade of 95%. This means that these 7 problems constitute the remaining 5% of the test.

Step 2 :Therefore, if we can find out the total value of each problem, we can then find out the total number of problems on the test.

Step 3 :Let's calculate the value of each problem: \( \frac{5}{7} = 0.7142857142857143 \)

Step 4 :Then, we can calculate the total number of problems on the test: \( \frac{100}{0.7142857142857143} = 140.0 \)

Step 5 :Final Answer: There were \(\boxed{140}\) problems on the test.

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