Mrs. Neeson, a science teacher, told her students that 30.0% of their final semester grades will come from their homework averages, and the remaining 70.0% will come from their test averages. She also said that the final exam will count for 20.0% of the test average. What percent of the science final semester grade is the final exam grade?

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The final exam \(f\) is \(20\%\) of the test average \(t\).

$$ f = 0.2t $$

The test average is \(70\%\) of the semester grade \(g\).

$$ t = 0.7g $$ $$ f = 0.2(0.7) g $$ $$ f = (.14)g $$