On a science test, Janine got $80 \%$ of the 10 multiple choice questions correct and $70 \%$ of the 30 short answer questions correct. What percentage of the 40 questions on the test did she answer correctly?
(A) $74 \%$
(B) $72.5 \%$
(C) $76 \%$
(D) $73 \%$
(E) $73.5 \%$
Of the 10 multiple choice questions, Janine got $80 \%$ or $0.80 \times 10=8$ correct.

Of the 30 short answer questions, Janine got $70 \%$ or $0.70 \times 30=21$ correct.

In total, Janine answered $8+21=29$ of the 40 questions correct, or $\frac{29}{40} \times 100 \%=72.5 \%$ correct.

ANSWER: (B)