the ratio of girls to the number of boys in a school is 8:5. if the number of boys are 175. find the number of students in the school.
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Answers
Answered by
3
Answer:
RATIO = 8:5 ::: GIRLS : BOYS
LET GIRLS NUMBER =8X AND BOYS = 5X
GIVEN BOYS = 175 , SO 5X = 175 , SO X = 35 ..
GIRLS = 8X = 8 . 35 = 280..
TOTAL = 280 + 175 = 455
Step-by-step explanation:
Answered by
6
Given:
- The ratio of the girls to the number of boys in the school is 8:5
- The number of boys is 175.
To be found:
The total number of students in the school.
So,
Let the number of girls be 8x
And let the number of boys be 5x
So, number of boys = 175 = 5x
⇒ 5x = 175
⇒ x = 175 ÷ 5
[∴ Taking 5 to RHS]
⇒ x = 35
So, we got the value of x = 35
Now, we can find the number of girls.
= 8x
= 8 × 35
= 280
Now,
We got
Number of boys = 175
And the number of girls = 280
Then
Total number of students
= Number of boys + number of girls
= 175 + 280
= 455
Hence,
There are 455 students in the school.
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