Acompany had an employee picnic. one-half of the 64 employees at plant #1 attended, two-thirds of the 81 employees at plant #2 attended, and three-fourths of the 48 employees at company headquarters attended. how many employees came to the picnic?

the answer is 153

Step-by-step explanation:

1/2 of 84 is 42

2/3 of 135 is 90

3/4 of 28 is 21

42 + 90 + 21 is 153

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is