Question

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

Answer 1

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

Answer 2

20 girls

Further explanation

Given:

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

There are 35 students in the class.

Question:

How many are girls?

The Process:

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.

- - - - - - - - - -

Quick Steps-I

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

Total of ratio number: 3 + 4 = 7

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

$\boxed{ \ = 4 \times 5 \ }$

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

Quick Steps-II

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

$\boxed{ \ 7x = 35 \ }$

$\boxed{ \ x = 5 \ }$

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

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