The number w is 110 % greater than the number z . The number z is 55 % less than

Question

The number w is 110 % greater than the number z . The number z is 55 % less than 50 . What is the value of w ?

Accepted Answer

The correct answer is 47.25 . It&rsquo;s given that the number w is 110 % greater than the number z . It follows that w = 1 + 110 100 z , or w = 2.1 z . It&rsquo;s also given that the number z is 55 % less than 50 . It follows that z = 1 - 55 100 50 , or z = 0.45 50 , which yields z = 22.5 . Substituting 22.5 for z in the equation w = 2.1 z yields w = 2.1 22.5 , which is equivalent to w = 47.25 . Therefore, the value of w is 47.25 . Note that 47.25 and 189/4 are examples of ways to enter a correct answer.

Question the-nu