At a book fair, 1/4 of the people bought 1 book.3/5 of the remaining
people bought 2 books each and the rest of the people bought 3
books each. a total of 4469 books were sold. how many people
were at the book fair?

2,180 people

Step-by-step explanation:

Let

x> number of people at the book fair

we know that

1) 1/4 of the people bought 1 book each

(1/4)x=(5/20)x

2) 3/5 of the remaining  people bought 2 books each

The remaining people is (3/4)x

so

(3/5)(3/4)x=(9/20)x

3) the rest of the people bought 3  books each

The rest of the people is x-(5/20)x-(9/20)x=(6/20)x

The linear equation that represent this situation is

(1)*(5/20)x+(2)*(9/20)x+(3)*(6/20)x=4,469

(5/20)x+(18/20)x+(18/20)x=4,469

(41/20)x=4,469

x=4,469*20/41

x=2,180 people

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: