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
Eddi Din [679]
3 years ago
8

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Midd

le School, where the ratio of boys to girls is 4:5. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?
Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

Given:

Total number of students at Colfax Middle School = 270

Ratio of boys to girls is 5:4.

Total number of students at Winthrop Middle School = 180

Ratio of boys to girls is 4:5.

The two schools hold a dance and all students from both schools attend.

To find:

The fraction of the students at the dance are girls

Solution:

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.

5+4=9

Number of boys =270\times \dfrac{5}{9}=150

Number of girls =270\times \dfrac{4}{9}=120

There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.

4+5=9

Number of boys =180\times \dfrac{4}{9}=80

Number of girls =180\times \dfrac{5}{9}=100

Now,

Total number of students in both schools = 270+180

                                                                = 450

Total number of girls in both schools = 120+100

                                                         = 220

The fraction of the students at the dance are girls is

\text{Required fraction}=\dfrac{\text{Total number of girls in both schools}}{\text{Total number of students in both schools}}

\text{Required fraction}=\dfrac{220}{450}

\text{Required fraction}=\dfrac{22}{45}

Therefore, the required fraction is \dfrac{22}{45}.                                

You might be interested in
PLEASE HELP!!
artcher [175]

To solve for f, you need to isolate/get the variable by itself in the equation:

4(0.5f - 0.25) = 6 + f       Distribute 4 into (0.5f - 0.25)

(4)0.5f + (4)(-0.25) = 6 + f

2f - 1 = 6 + f        Subtract f on both sides to get "f" on one side of the equation

2f - f - 1 = 6 + f - f

f - 1 = 6       Add 1 on both sides to get "f" by itself

f - 1 + 1 = 6 + 1

f = 7

PROOF

4(0.5f - 0.25) = 6 + f      Substitute/plug in 7 into "f" since f = 7

4(0.5(7) - 0.25) = 6 + 7

4(3.5 - 0.25) = 13

4(3.25) = 13

13 = 13

8 0
3 years ago
Please help thank you
OleMash [197]

Answer:

your answer for K should be 12

8 0
3 years ago
Read 2 more answers
Determine the digits of Y from these clues.
azamat
The last one- its the only one that applies to the 4* rule.
5 0
3 years ago
Read 2 more answers
3 1/3 divided by 2/3<br><br> pls help me!!!! im stuck and pls show your work!
Vedmedyk [2.9K]
The answer would be 2 1/3 or 2.3 repeating or 7/3
8 0
3 years ago
Read 2 more answers
M<br> (2y+19)<br> (5x+20)<br> n<br> (4x-11)
AleksandrR [38]

Answer:

(5x+20)+(4x-11)=180(linear pair)

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

now,

(2y+19)+(5x+20)=180(co-interior angle)

2y+19+5×19+20=180

2y+134=180

2y=180

y=180/2

y=90

7 0
2 years ago
Other questions:
  • Paul bought a soft and a sandwich for $9.90. What equation may be used to find the price of each item if the sandwhich cost 3.5
    14·2 answers
  • Which equation is equivalent to x + 3y – z = 3?
    10·2 answers
  • Solve the equation.<br> |x + 7|= 12
    10·2 answers
  • Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is co
    8·1 answer
  • Beth’s music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother’s songs is 3:2
    8·1 answer
  • Write the equation of the line in slope-intercept form.
    10·1 answer
  • Henry steps onto an elevator at the first floor. He goes up to the 9th floor and then comes down 2 floors. He then goes up 4 flo
    14·2 answers
  • I need some assistance please
    7·1 answer
  • Estimate √40 to the nearest tenth. *<br><br> A. 6.9<br> B. 6.3<br> C. 7.1<br> D. 5.7
    12·1 answer
  • During a rain storm a pail collects 1/3 of an inch of water in 5/6 of a minute at what rate is the pail collecting water
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!