Respuesta :
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
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
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 [tex]\boxed{ \ 3: 4 \ }[/tex].
See the pattern of them.
[tex]Boys \ \boxed{\cdot}\boxed{\cdot}\boxed{\cdot}[/tex]
[tex]Girls \ \boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}[/tex]
A total of 7 units are the same as 35 students.
[tex]\boxed{ \ 7 \ units = 35 \ students \ }[/tex]
We prepare for 1 unit.
[tex]\boxed{ \ 1 \ unit = 35 \div 7 \ }[/tex]
We get [tex]\boxed{\boxed{ \ 1 \ unit = 5 \ students \ }}[/tex]
Now we can find the number of boys and girls.
[tex]\boxed{ \ Boys = 3 \ units \times 5 = 15 \ students \ }[/tex]
[tex]\boxed{ \ Girls = 4 \ units \times 5 = 20 \ students \ }[/tex]
Thus, there are 20 students are girls.
- - - - - - - - - -
Quick Steps-I
[tex]\boxed{ \ Boys : Girls = 3: 4 \ }[/tex]
Total of ratio number: 3 + 4 = 7
The number of girls: [tex]\boxed{ \ = \frac{4}{7} \times 35 \ }[/tex]
[tex]\boxed{ \ = 4 \times 5 \ }[/tex]
[tex]\boxed{\boxed{ \ 20 \ students \ }}[/tex]
Quick Steps-II
[tex]\boxed{ \ 3x + 4x = 35 \ }[/tex]
[tex]\boxed{ \ 7x = 35 \ }[/tex]
[tex]\boxed{ \ x = 5 \ }[/tex]
[tex]\boxed{\boxed{ \ Girls = 4 \times 5 = 20 \ students \ }}[/tex]
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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
