Question

The proportion 75/w = 150/100 can be used to find the whole 'w' when the part is 75. Will the 'w' be less than or greater than 75? Without solving, explain how you know. *

Answer 1

w will be less than 75.

Explanation:

Given the expression;

75/w = 150/100

We are to determine whether w is greater than or less than 75.

If you look at the right hand side of the expression, 150/100, you will see that the denominator is greater than the numerator. Due to the equality sign between the fractions, the same will be applicable to 75/w meaning that w will also be less than 75.