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
Alik [6]
3 years ago
10

At westwood Middleschool, 648 students responded to a survey asking about their favorite type of exercise. Twice as many student

s chose jogging as swimming. The same number of students chose yoga as jogging. Twice as many students chose biking as jogging. How many students chose each type of exercise?
Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

The number of students chose jogging is <u>144</u>, chose swimming is <u>72</u>, chose yoga is<u> 144</u> and chose biking is <u>288</u>.

Step-by-step explanation:

Given:

At westwood Middle School, 648 students responded to a survey asking about their favorite type of exercise.

Twice as many students chose jogging as swimming.

The same number of students chose yoga as jogging.

Twice as many students chose biking as jogging.

Now, to find the number of students chose each type of exercise.

<em>Let the students chose jogging be </em>w.<em />

<em>The student chose swimming be </em>x.<em />

<em>The student chose yoga be </em>y.<em />

<em>And the student chose biking be</em> z.

As per given in question:

Twice as many students chose jogging as swimming.

w=2x\\\frac{w}{2} =x\\.........(1)

The same number of students chose yoga as jogging.

y=w .........(2)

Twice as many students chose biking as jogging.

z=2w.  .........(3)

Total students surveyed = 648.

According to question:

w+x+y+z=648.

Putting the value from above equations (1), (2) and (3) we :

w+\frac{w}{2} +w+2w=648

4w+\frac{w}{2}=648

\frac{8w+w}{2} =648

\frac{9w}{2}=648

<em>Multiplying both sides by 2 we get:</em>

9w=1296

<em>Dividing both sides by 9 we get:</em>

w=144.

<u><em>The students chose jogging = 144.</em></u>

<em><u>The student chose swimming:</u></em>

x=\frac{w}{2} \\x=\frac{144}{2} \\x=72

<u><em>The students chose yoga:</em></u>

y=w\\y=144.

<u><em>The student chose biking :</em></u>

z=2w\\z=2\times 144\\z=288

Therefore, the number of students chose jogging is 144, chose swimming is 72, chose yoga is 144 and chose biking is 288.

You might be interested in
Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.
zaharov [31]

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Of 100 students,65 are members of a mathematics club and 40 are members of a physics club. if 10 are members of neither club the
alexandr1967 [171]

a. 15 students are members of both clubs

b. 50 students only are members of the mathematics club

c. 25 students only are members of the physics club

Step-by-step explanation:

The given is:

  • There are 100 students
  • 65 are members of a mathematics club
  • 40 are members of a physics club
  • 10 are members of neither club

We need to find how many students are members of

a. both clubs?

b. only mathematics club

c. only physics club

∵ The total number of students = 100

∵ 10 are members of neither club

- Subtract 10 from 100 to find the members of the mathematics

  club or the physics club

∵ 100 - 10 = 90

∴ There are 90 members of the mathematics club or physics club

∴ n(mathematics or physics) = 90

∵ 65 students are members of a mathematics club

∵ n(mathematics) = 65

∵ 40 students are members of a physics club

∴ n(physics) = 40

∵ n(mathematics or physics) = n(mathematics) + n(physics) - n(both)

∴ 90 = 65 + 40 - n(both)

∴ 90 = 105 - n(both)

- Add n(both) to each side

∴ n(both) + 90 = 105

- Subtract 90 from each side

∴ n(both) = 15

∴ 15 students are members of both clubs

a. 15 students are members of both clubs

∵ 65 students are members of the mathematics club

∵ 15 of them are members of the physics club

∴ n(mathematics only) = 65 - 15 = 50

∴ 50 students only are members of the mathematics club

b. 50 students only are members of the mathematics club

∵ 40 students are members of the physics club

∵ 15 of them are members of the mathematics club

∴ n(physics only) = 40 - 15 = 25

∴ 25 students only are members of the physics club

c. 25 students only are members of the physics club

Learn more:

You can learn more about word problems in brainly.com/question/8907574

#LearnwithBrainly

5 0
3 years ago
Whats 49.95 multiply by 4?​
aleksley [76]

Answer: 199.8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Factor out each GCF
anyanavicka [17]
15cd(1+2cd) is correct
3 0
3 years ago
Can anyone help me?
just olya [345]

Answer:

The answer is D, 80$ for three 1 hour lessons. I hope this helps :D

4 0
2 years ago
Other questions:
  • Michael breeds chickens and ducks. Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This mont
    12·1 answer
  • Helpppppppppppppppppppppppppppppp
    7·1 answer
  • Picture and info down below!
    11·1 answer
  • PLEASE HELP ME WILL MARK BRAINLIEST
    14·1 answer
  • Leola Hain purchases 220 shares of Circuit City stock at $42.75 per share.
    11·1 answer
  • Find the difference 857-425=​
    15·2 answers
  • You borrow 15,000 for three years at 10% how much will you owe in interest only
    10·1 answer
  • Write the function notation for the<br> above rotation.
    6·1 answer
  • Enter five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the
    6·1 answer
  • Identify where the student<br> went wrong<br> 2(x+5) = 29<br> 2x + 5 = 29<br> 2x = 24<br> x=14
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!