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
mote1985 [20]
3 years ago
12

3. In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second

graders. If there are 96 students in the auditorium, how many second graders are there?
Mathematics
2 answers:
Anettt [7]3 years ago
4 0
So there are 96 students in total, and you know 1/6 of 96 are fifth graders:
96 x 1/6 = 16
and you know 1/3 of 96 are fourth graders:
96 x 1/3 = 32
so to find the remaining kids:
96-16-32= 48
1/4 of the remaining kids are second graders:
48 x 1/4 = 12
therefore, there are 12 second graders

Katen [24]3 years ago
3 0

12

<h3>Further explanation</h3>

<u>Given:</u>

In an auditorium,

  • \frac{1}{6} of the students are fifth graders,
  • \frac{1}{3} are fourth graders, and
  • \frac{1}{4} of the remaining students are second graders.

There are 96 students in the auditorium.

<u>Question:</u>

How many second graders are there?

<u>The Process:</u>

The least common multiple (LCM) of 3 and 6 is 6.

Let us draw the diagram of all students.

96 \div 6 \ units = 16 \rightarrow \boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16} = 96 \ students

  • \frac{1}{6} of the students are fifth graders, or 1 of 6 units above, that is \boxed{16} = 16 \ students
  • \frac{1}{3} = \frac{2}{6} are fourth graders, or 2 of 6 units above, that is \boxed{16}\boxed{16} = 32 \ students

The remainder is 6 units - (1 unit + 2 units) = 3 units, that is \boxed{16}\boxed{16}\boxed{16} = 48 \ students. Or, 96 - 16 - 32 = 48 students.

\frac{1}{4} of the remaining students are second graders.

Let us count how many second graders are there.

\boxed{ \ \frac{1}{4} \times 48 \ students = ? \ }

Thus, there are 12 second-graders in the auditorium.

- - - - - - - - - -

Quick Steps

\boxed{ \ \frac{1}{4} \times \bigg(1 - \frac{1}{6} - \frac{1}{3} \bigg) \times 96 = ? \ }

\boxed{ \ = \frac{1}{4} \times \bigg(\frac{6}{6} - \frac{1}{6} - \frac{2}{6} \bigg) \times 96 \ }

\boxed{ \ = \frac{1}{4} \times \frac{3}{6} \times 96 \ }

\boxed{ \ = \frac{3}{24} \times 96 \ }

We crossed out 24 and 96.

\boxed{ \ = 3 \times 4 \ }

\boxed{\boxed{ \ = 12 \ students \ }}

<h3>Learn more</h3>
  1. How long did it take Charlotte to finish the word search brainly.com/question/8561495
  2. What fraction of all Sarah's photos is of her friends brainly.com/question/1020296
  3. Create and solve a story problem about two friends and their weekly allowance brainly.com/question/2968321

Keywords: In an auditorium, 1/6 of the students, fifth graders, 1/3, fourth, 1/4, the remaining students, second, 96, how many, second graders

You might be interested in
Find x.<br> X=<br> 400<br> 8<br> Round to two decimals at each step of the problem.
svlad2 [7]

Answer:

6.71

Step-by-step explanation:

→ Find a triangle to use

Tan = Opposite ÷ Adjacent

→ Rearrange to make opposite the subject

Opposite = Tan × Adjacent

→ Substitute in the values

Opposite = Tan (40) × 8

→ Simplify

Opposite = 6.71

4 0
3 years ago
I need help with this question
mr Goodwill [35]

Answer:

It would be 1.5m+4 is greater than or equal to 7. This is because 1.5m is the regular rate of growth, plus the 4cm already grown. She wants the hair to be no shorter than 7cm. So, the 15m+4 has to be greater than the 7cm.

Step-by-step explanation:

5 0
3 years ago
How do I find the values of x and y?
zepelin [54]
All 3 angles =180...
3 0
3 years ago
The equations of three lines are given below. Line 1: =3y+−2x7 Line 2: =y−−23x4 Line 3: =+4x6y−6
valkas [14]
I don't understand what you want solved for here...could you please tell me?

6 0
3 years ago
Given m//n find the value of x
Alecsey [184]

Answer:

x=151

--------------------------

3 0
2 years ago
Other questions:
  • The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?
    13·2 answers
  • A shoe keeper marks his Goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket co
    10·1 answer
  • A company with 17 employees gives each employee a bonus of $457 how much does the company spends on bonuses
    14·1 answer
  • Capacity of the football stadium.<br> A) Quantitative<br> B Qualitative
    12·2 answers
  • please help really quickly i will literally give u 5 stars thanks and brainliest its also worth 21 points please help quickly i
    10·1 answer
  • Joshua plans to buy x pencils and one notebook at the schoolstore. A pencil costs $0.10 and a notebook costs $1.25. Joshua
    7·1 answer
  • In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the
    11·2 answers
  • A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall
    11·1 answer
  • Find the length of x in simplest radical form with a rational denominator
    15·2 answers
  • Hillsboro Middle School has 714 students. Joanna surveys a random sample of 34 students and finds that 9 of them play a musical
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!