At the city museum, child admission is $5.80 and adult admission is $9.00 . on monday, three times as many adult tickets as child tickets were sold, for a total sales of $984.00 . how many child tickets were sold that day?

30

Step-by-step explanation:

A bundle of 3 adult tickets and 1 child ticket sells for $32.80, so there were ...

... $984/$32.80 = 30 . . . . bundles sold.

The number of child tickets sold was 30.

Using an equation

Let c represent the number of child tickets sold. Then 3c is the number of adult tickets sold. The total revenue is ...

... 5.80c + 9.00·(3c) = 984.00

... 32.80c = 984.00 . . . . . . . . . . simplify

... c = 984.00/32.80 = 30 . . . . . divide by the coefficient of c

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )