Question

A survey of 120 teachers determined the following: 70 had high blood pressure, 40 had heart trouble, 20 had both high blood pressure and heart trouble. What percent of the teachers surveyed had neither high blood pressure nor heart trouble?

Answer 1

Answer:

Percent of the teachers surveyed had neither high blood pressure nor heart trouble = 24.99%

Step-by-step explanation:

We are given the following in the question:

Number of teachers surveyed = 120

Number of teachers had high blood pressure = 70

Percentage of teachers had high blood pressure =

$\displaystyle\frac{70}{120}\times 100\% = 58.34\%$

Number of teachers had  heart trouble = 40

Percentage of teachers had heart trouble =

$\displaystyle\frac{40}{120}\times 100\% = 33.34\%$

Number of teachers had both high blood pressure and heart trouble = 20

Percentage of teachers had both high blood pressure and heart trouble =

$\displaystyle\frac{20}{120}\times 100\% = 16.67\%$

Percent of the teachers surveyed had high blood pressure or heart trouble = Percent of teachers had high blood pressure +Percent of teachers had  heart trouble - Percent of teachers had both high blood pressure and heart trouble

= $58.34+33.34-16.67 = 75.01\%$

Percent of the teachers surveyed had neither high blood pressure nor heart trouble

= 100% - Percent of the teachers surveyed had high blood pressure or heart trouble

= $100\% - 75.01\% = 24.99\%$