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
krek1111 [17]
3 years ago
12

Of the students attending a school party, 60% of the students are girls, and 40% of the students like to dance. After these stud

ents are joined by 20 more boy students, all of whom like to dance, the party is now 58% girls. How many students now at the party like to dance?

Mathematics
2 answers:
alexdok [17]3 years ago
8 0
Yea i think this my answer

Svetach [21]3 years ago
8 0

Answer: The total number of students that liked dancing after the addition of the new boys is 252

Step-by-step explanation:

Let us denote the total number of students at the party before the addition of the 20 boy students by "a".

Before the addition of of the new boys, 60% of the students at the party were girls. The actual number of girls before the addition =

(60/100) × a

= 3a/5 (number of girls before the addition)

After adding 20 boy students, the total number of students should now be "a + 20"

If the percentage of the girls in the party dropped to 58% from 60%, then the number of girls after the addition of the new boys will now be:-

58/100 × (a+20)

= (58a + 1160)/100 (number of girls after the addition)

Since the number of GIRLS at the party CANNOT increase after the addition of BOYS ONLY, then:

3a/5 = (58a + 1160)/100

Then cross multiplying;

3a × 100 = 5 × (58a + 1160)

300a = 290a + 5800

10a = 5800

a = 580

The total number of students at the party before the addition of the new boys was 580.

Now, if 40% of the total number of students at the party before the addition of the new boy students liked to dance, then the actual number of students that liked to dance is:

40/100 × 580

= 232 students.

If the newly added 20 students also liked to dance, then the current total number of students at the party that liked dancing is:

232 + 20

= 252 students.

After the addition of the 20 new boy students, the total number of students at the party that liked dancing will now be 252

You might be interested in
Haley has five times as many stuffed animals as she does dolls. Her brother has 18 more video games than Haley has stuffed anima
34kurt

Answer:

93

Step-by-step explanation:

15 x 5 = 75 + 18 = 93

5 0
3 years ago
Read 2 more answers
Graph: y +2=
olga_2 [115]

Answer:

  see below

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

  h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

__

You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

  y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.

6 0
3 years ago
I'll give brainlist to whoever is right please!!!!
AVprozaik [17]
He would save up to 330 dollars
7 0
3 years ago
What is the percent of change from 8.0 to 8.2?
vodomira [7]
If you subtract the equation 8.0-8.2=-0.2. If you were to do the opposite then you would answer the equation 8.2-8.0=0.2. So therefore you have two options, -0.2 or 0.2. Good luck! 
4 0
3 years ago
Read 2 more answers
Help please!!!
vaieri [72.5K]
We know that In right angle triangle c^2 = a^2 + b^2.
19^2 = 3^2 + b^2
b = (361 - 9)^1/2 = 18.761663039294
Now for angles
 sin(A) = a/c = 3/19
A = sin{-1}(3/19) = 9.0847202873911
A = 9.0847202873911
sin(B) = b/c = 18.761663039294 / 19
B = sin{-1}(18.761663039294 / 19) = 80.915279712614
B = 80.915279712614

8 0
3 years ago
Other questions:
  • If you multiply any whole number by a fraction greater than one is your product greater than or less than the whole number
    11·1 answer
  • A researcher takes a simple random sample of 71 homes in the city and finds that the mean square footage is 1468 with a standard
    11·1 answer
  • Daisy has 5 1/2 pounds of chocolate she uses for fifth of it to bake brownies how much chocolate does she use to bake brownies
    9·2 answers
  • The price of a television was reduced from $175 to $150. By what percentage was the price of the television reduced?
    11·1 answer
  • Order the angles in each triangle from smallest to largest. NO LINKS!!!!​
    5·2 answers
  • Help! is due today please
    15·1 answer
  • Can anyone help please?
    6·1 answer
  • Find the Area of the shape | help me this is due tomorrow!]
    10·1 answer
  • La ecuación h(x) =23 es lineal?
    13·1 answer
  • 3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!