MathDB

Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered

70\%

of the arithmetic,

40\%

of the algebra, and

60\%

of the geometry problems correctly, she did not pass the test because she got less than

60\%

of the problems right. How many more problems would she have needed to answer correctly to earn a

60\%

passing grade?

\text{(A)}\ 1\qquad\text{(B)}\ 5\qquad\text{(C)}\ 7\qquad\text{(D)}\ 9\qquad\text{(E)}\ 11

Problem Statement