Question

Yolanda has finished 45% of the homework problems she was assigned. So far she has finished 27 problems.

A. Write 45% as a rate per 100 and then reduce the fraction to lowest terms.

B. How many problems was Yolanda assigned?

C. How many problems does Yolanda still have to do?

Answer 1

$p\%=\frac{p}{100}\\\\A.\ 45\%=\frac{45}{100}=\frac{45:5}{100:5}=\boxed{\frac{9}{20}}\\\\B.\ \begin{array}{ccc}45\%&-&27\\100\%&-&x\end{array}\ \ \ \ |cross\ multiply\\\\\\45\cdot x=27\cdot100\\45x=2700\ \ \ \ |divide\ both\ sides\ by\ 45\\\boxed{x=60}\\\\C.\ 60-27=\boxed{33}$