April sold 75 tickets to a school play and collected a total of $495. If the adult tickets cost $8 each and child tickets cost $5 each, how many adult tickets and how many child tickets did she sell?

Answers

Answer 1
Answer:

Answer: 40 adult tickets and 35 child tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of child tickets that were sold.

April sold 75 tickets to a school play. It means that

x + y = 75

If the adult tickets cost $8 each and child tickets cost $5 each and and a total of $495 was collected from ticket sales, it means that

8x + 5y = 495- - -- - - - - - - - -1

Substituting x = 75 - y into equation 1, it becomes

8(75 - y) + 5y = 495

600 - 8y + 5y = 495

- 8y + 5y = 495 - 600

- 3y = - 105

y = - 105/-3

y = 35

x = 75 - y = 75 - 35

x = 40


Related Questions

If the points show below are collinear, what can you conclude about the lengths AB, BC, and AC? SOMEONE PLEASE ANSWWR THIS WILL GIVE BRAINLIEST!!!!
A zoo has 2 male lions one sixth oh the lions are male lions how many lions are there at the zoo ?
Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.the set of tree heights and the set of trees in a forestthe set of car make and models and the set of people in a certain townthe set of birthdays and the set of students in a classthe set of people with Social Security cards and the set of Social Security numbers
What is the slope equation? Drag and drop answers
10 to power 7 decimal ​

Why are circles so important to constructions?

Answers

Its a way to find a range of length without using exact measuments (if your using a compass)
Also you need to know constructions for the weekly tests so your school can get more money

Free brainleist

What is (75 x 2) + (6-3)

Answers

Answer:

(75x2)+(6-3)

         These equations are in parentesis so they happen first.

75x2=150. If we take 70 and multiply it by 2 we get 140. If we multiply 5 by 2 we get 10. So 140+10=150.

6-3 is next. That is common knowledge and we know its 3.

No we add 150+3=153 to get our answer.

Parenthesis first

Exponets after parenthesis

Multiplying going left to right

Divinding left to right

Adding left to right

Subtracting left to right

Step-by-step explanation:

I hope this helped and if so plz give brainliest.

Answer:

153

Step-by-step explanation:

(75 x 2) + (6-3)

150+(6-3)

150+3

153

Mateo is doing an experiment for Physics class. He drops a bouncy ball off abalcony from a height of 12 meters. The ball's next bounce is always 75% of
the height of the previous bounce. Let n = bounce number. Before the ball is
dropped, n = 0, because the ball has not yet bounced. Which explicit formula
represents the height of the ball after n bounces?

Answers

Final answer:

The height of the ball after n bounces is given by the formula a_n = 12 * 0.75^(n - 1). This formula represents a geometric sequence where each height is 75% of the previous height.

Explanation:

The height the bouncy ball reaches after each bounce is a geometric sequence, where each subsequent height is found by multiplying the previous height by the common ratio, 75%, or 0.75. The initial term is the original height from which the ball is dropped, which is 12 meters.

The explicit formula for a geometric sequence is a_n = a_1 * r^(n - 1). Replacing a_1 with 12 (the initial height), r with 0.75 (the common ratio), and n with the bounce number, the explicit formula to find the height of the ball after n bounces is a_n = 12 * 0.75^(n - 1).

Learn more about Geometric Sequence here:

brainly.com/question/34721734

#SPJ3

Answer:

Max. height following bounce # n is 12(¾)n because each prior height is multiplied by three fourths.

Step-by-step explanation: it jus is

Can some one please explain to me how to do these three problems so that I can do the rest of my home work. THANK YOU

Answers

1.4²+b²=3.1²
1.96+b²=9.61
b²=7.65
b=√7.65
b=2.8(rounded to the nearest tenth)

5²+12²=C²
25+144=c²
169=c²
c=√169
c=13cm

6²+3²=c²
36+9=c²
c²=45
c=√45
c=6.7ft ( rounded to the nearest tenth)
a² + b² = c²
1.4² + b² = 3.1²
1.96 + b² = 9.67
-1.96         -1.96
           b² = 7.71
            b ≈ 2.78
-----------------------------------------------------------------------------------------------
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c
-----------------------------------------------------------------------------------------------
a² + b² = c²
6² + 3² = c²
36 + 9 = c²
45 = c²
6.71 ≈ c

a student skipped a step when she tried to convert 26 hours into seconds, and she got the following incorrect result. what conversion ratio did she skip in this multiple-step conversion?

Answers

This problem is missing some info. I'll just show how I convert hours to seconds.

26 hours to seconds.

1 hour = 60 minutes
1 minute = 60 seconds

26 hours * 60 minutes/1hr = 26 * 60 minutes = 1,560 minutes
1,560 minutes * 60 seconds/1min = 1,560 * 60 seconds = 93,600 seconds

26 hours has 93,600 seconds.

Has endpoints q(4, 10) and s(–2, 3). find the coordinates of the midpoint of . (1, 6.5) (1, 13) (6.5, 3.5) (6.5, 1)

Answers

The midpoint is (1, 6.5)

The best way to find the midpoint of a line is by taking the average of its respective coordinates. 

The average of the x coordinates 4 and -2 is 1 because when they are added together and divided by 2 you get 1. 

Similarly for the y coordinates, which are 10 and 3. Added together they give an answer of 13 and when that is divided by 2 we get 6.5.