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yanalaym [24]
3 years ago
12

there are 3/4 as many boys as girls in a class of fifth-graders if there are 35 students in the class how many a

Mathematics
2 answers:
Arlecino [84]3 years ago
8 0
Alright so turn 3/4 into a decimal.
3/4 =.75

We need to set up an equation. To do that are need to give boys and girls their own variables.

Girls= X

And since there is 3/4 as many boys
Boys=. 75X

Now we know the sum of boys and girls equals 35
X+.75X=35

X+.75X=1.75X
Now we have 1.75X=35

Divide by 1.75 and get
20=X

Now plug 20 into the equations got from before.
Boys =. 75*X = 20 *. 75 = 15
Girls = X =20

Your Answer:
15 boys
20 girls

You can check
20+15=35
15/20=3/4

Anastaziya [24]3 years ago
8 0

20 girls

<h3>Further explanation</h3>

<u>Given:</u>

There are ³/₄ as many boys as girls in a class of fifth-graders.

There are 35 students in the class.

<u>Question: </u>

How many are girls?

<u>The Process:</u>

From the information above, we know that the ratio of boys and girls is \boxed{ \ 3: 4 \ }.

See the pattern of them.

Boys \ \boxed{\cdot}\boxed{\cdot}\boxed{\cdot}

Girls \ \boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}

A total of 7 units are the same as 35 students.

\boxed{ \ 7 \ units = 35 \ students \ }

We prepare for 1 unit.

\boxed{ \ 1 \ unit = 35 \div 7 \ }

We get \boxed{\boxed{ \ 1 \ unit = 5 \ students \ }}

Now we can find the number of boys and girls.

\boxed{ \ Boys = 3 \ units \times 5 = 15 \ students \ }

\boxed{ \ Girls = 4 \ units \times 5 = 20 \ students \ }

Thus, there are 20 students are girls.

- - - - - - - - - -

<u>Quick Steps-I</u>

\boxed{ \ Boys : Girls = 3: 4 \ }

Total of ratio number: 3 + 4 = 7

The number of girls: \boxed{ \ = \frac{4}{7} \times 35 \ }

\boxed{ \ = 4 \times 5 \ }

\boxed{\boxed{ \ 20 \ students \ }}

<u>Quick Steps-II</u>

\boxed{ \ 3x + 4x = 35 \ }

\boxed{ \ 7x = 35 \ }

\boxed{ \ x = 5 \ }

\boxed{\boxed{ \ Girls = 4 \times 5 = 20 \ students \ }}

<h3>Learn more</h3>
  1. What is the area of the whole mosaic in square inches? brainly.com/question/982984
  2. How much does the company pay for all three people employees' wages for one hour of work? brainly.com/question/1388805
  3. How many students are in the grade? brainly.com/question/1070972

Keywords: there are ³/₄, as many boys as, girls, in a class of fifth-graders, if, 35 students, in the class, how many are girls, ratio, number

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