
Nestor R. answered 07/12/19
Mathematically-oriented professional with many years of experience
Yolanda has memorized 30 words which is 2/3 of the list of words.
Set up an equation relating actual number memorized A to total number available to be memorized M.
A = 2/3 * M.
A is given as 30, so rewrite the equation as 30 = 2/3 * M
Multiply both sides by 3 to get 90 = 2*M
Divide both sides by 2 and solve for M.
90/2 = 2/2 * M ==> 45 = M. The list has 45 words.