How to convert fraction in time

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

elena-s [515]

Answer:

252 students at the party like to dance

Step-by-step explanation:

Given:

60% of the students are girls

40% of the students like to dance

20 more boy students

Percentage of the girls in the party = 58%

To Find:

How many students now at the party like to dance=?

Solution:

Let the number of girls be g.

Let the number of total people originally be t.

We know that

$\frac{g}{t}=\frac{60}{100}$

$\frac{g}{t}=\frac{3}{5}$ ----------------------------------(1)

We also know that

$\frac{g}{t+20}=\frac{58}{100}$

$\frac{g}{t+20}=\frac{29}{50}$ -----------------------------(2)

We now have a system of equation from (1) and (2)

3t=5g

$g = \frac{3t}{5}$ ------------------------(3)

50g=29t+580------------------------(4)

Substituting 3 in 4, we get

$50(\frac{3t}{5})=29t+580$

$(\frac{150t}{5})=29t+580$

$30t =29t+580$

$30t -29t = 580$

t =589

So originally there was 580 students

In this 580 students 40% liked to dance

Then the number of students liked to dance =

=> $40\% \text{of} 580$

=> $\frac{40}{100} \times 580$

=> $0.4 \times 580$

=> 232

We also know that with these people, 20 boys joined, all of whom like to dance.

Now the number of students like to dance = 232+20 = 252 students

7 0

3 years ago

For a snack, sameer ate a plum with 32 calories and several strawberries with 4 calories each. if the total number of calories i

Westkost [7]

Total calories = 56
Amount of calories in plum = 32
Remaining Calories = 56 - 32 = 24
Amount of calories with one strawberry = 4
No. of strawberries he ate = 24/4 = 6 strawberries

I hope it is helpful:D

6 0

3 years ago

Read 2 more answers

Jackie cut a piece of paper along its diagonal, as shown below, forming two triangles.

harina [27]

Answer:

B. The two dimensions are the same in the triangles as they were in the rectangle.

Step-by-step explanation:

Given

Initial Shape: Rectangle (Before cut)

Final Shape: Triangles (After cut)

<em>Note that this can be explained properly with the use of attachments</em>

See attachment 1 for Before Cut

Before Cut represent the full rectangle before Jackie cut the piece of paper.

Let H and B represent the height and base of the triangle

Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle

See attachment 2 for After Cut

After Cut represent the two triangles after cutting the rectangle

From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;

In other words, the two triangle have their heights as H and their bases as B.

Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.

4 0

3 years ago

Read 2 more answers

-4/9n ÷ 1/15n please help w/explanation and step by step

Sindrei [870]

Answer:

-20n/3n

Step-by-step explanation:

-4 1

--- / ---

9n 15n

Keep, change, flip

- Keep the -4/9n

- Change the division sign to a multiplication sign

- Flip the 1/15n to 15n/1

-4 15n

--- * ---

9n 1

Cross simplify.

9n divided by 3 is 3n.

15n divided by 3 is 5n.

-4 5n

--- * ---

3n 1

-4 times 5n equals -20n

3n times 1 equals 3n

-20n

---

3n

6 0

3 years ago

Which matrix represents the system of equations shown below?

Leona [35]

Answer:

121-22

Step-by-step explanation:

7 0

3 years ago

How to convert fraction in time​

How to convert fraction in time