1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ddd [48]
3 years ago
10

There are 56 students in the orchestra and twice that number in the band. There are 23 boys and 24 girls in the choir. If each s

tudent only participates in one group, how many students total are there in the orchestra, the band, and the choir?
Mathematics
1 answer:
enyata [817]3 years ago
7 0

Answer:

There are 214 total students in the band, orchestra, and choir altogether.

Step-by-step explanation:

Band: 112

Orchestra: 56

Choir: 23 boys 23 girls - 46 total

In the band, 112 kids.

In the orchestra, 56.

In the choir, 23+23=46 total

So, if we'd like to set up an equation to solve this and make it a little easier to understand,

We can assign variables. x, y, and z for example.

Population of the band is x, orchestra receives y, and choir receives z.

This question asks simply for a total, and makes sure to specify that these kids do not share hobbies in order to make it easier to achieve that goal. Because z (the number of kids in the orchestra) is already the combination of boys and girls, our equation to reach the answer (which we will call M for Music Kids, or money if you'd like) is simple.

x + y + z = M

In this equation, there is only one variable we have yet to uncover, so all we need to do is substitute the remaining three.

So, here's the full explanation in math terms.

band kids: x

orchestra kids: y

choir kids: z

x = 112

y = 56

z = 23 + 23 = 46

z = 46

M = ?

x + y + z = M

// unknown: M //

// substitute known variables //

112 + 56 + 46 = M

// simplify //

M = 214

Final Answer: there are 214 total students in the band, orchestra, and choir altogether.

You might be interested in
It is known that 40% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is th
KIM [24]

Answer:

The expected number of adult workers with a high school diploma is 4 out of 10

Step-by-step explanation:

4 out of 10 = 40%

3 0
3 years ago
Which unit should be used to measure the amount of water used
Vesna [10]

Answer:

iters and millimets

Step-by-step explanation:

Ur welcome:)

7 0
3 years ago
What is 5 x 5 in expanded form<br>​
NikAS [45]

Answer:

5×10°

Hope this helped you!!!

3 0
3 years ago
What is 8-8-8-88-99-7
Elenna [48]
The answer is -202

Hope this helps! :)
3 0
3 years ago
A slope-intercept equation of the line whose graph is perpendicular to
omeli [17]

Step-by-step explanation:

let eqn be y = mx + b.

2x + 9y = 8

9y = -2x + 8

y = -2/9 x + 8/9

since the lines are perpendicular, product of the slope of the two lines = -1.

hence,

m x -2/9 = -1

m = 9/2

sub (0, -3):

-3 = 9/2(0) + b

b = -3

therefore equation is: y = 9/2x - 3

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

6 0
3 years ago
Other questions:
  • Solve the equation. <br><br> 3(−6)=
    5·2 answers
  • When is buying a house better than renting?
    5·2 answers
  • Help!!!!8 points!!!!
    13·1 answer
  • The two polygons are similar. Find measure of angle C
    13·2 answers
  • Which equation matches this graph? Select all that apply.
    5·1 answer
  • Can someone please please help me out :)
    5·1 answer
  • PLS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!
    9·1 answer
  • Solve the system of equations using elimination
    10·1 answer
  • Heyy! i’ll give brainliest please help.
    10·2 answers
  • Solve -2(5x - 3) = 41.<br> O x- 11.7<br> Ox-4.7<br> OX=-3.5<br> Ox-4,7
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!