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A student missed 15
problems on a Chemistry test and received a grade of 52%
. If all the problems were of equal value, how many problems were on the test? Round off your answer to the nearest integer.


Sagot :

Answer:

  31 questions

Step-by-step explanation:

You want to know the number of questions on a test if missing 15 results in a score of 52%.

Questions

If q is the number of questions on the test, we have ...

  [tex]\dfrac{q-15}{q}=0.52\\\\q-15=0.52q\qquad\text{multiply by $q$}\\\\0.48q-15=0\qquad\text{subtract $0.52q$}\\\\0.48q=15\qquad\text{add 15}\\\\q=31.25\approx31\qquad\text{divide by 0.48}[/tex]

There were 31 questions on the test.