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