Problema Solution

A company recently surveyed all of its employees. Overall 3 out of every 16 employees preferred the company's current benefit plan. Additionally 5 out of every 8 employees preferred a different benefit plan. A total of 150 employees did not indicate a preference for either the current benefit plan or a different benefit plan. How many employees preferred the company's current benefit plan.

Answer provided by our tutors

let x be the total number of employees


x(3/16) preferred the current plan


x(5/8) preferred different plan


the rest of the workers didn't indicate a preference for either the current plan or different:


x - x(3/16) - x(5/8) = 150


by solving we find


x = 800 employees


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(3/16) preferred the current plan that is:


(3/16)*800 = 150 employees


150 employees preferred the company's current plan.