Respuesta :
Answer: The fraction by what the number of boys had been reduced=1/11
Step-by-step explanation:
Step 1: To calculate the number of boys last year.
According to the question,
The number of boys last year= 400+95
The number of boys last year=495
Step 2: To calculate the number of girls this year.
According to the question,
The number of girls this year= 400 + 400*1/5
The number of girls this year= 480
Step 3: To calculate the number of boys this year.
According to the question,
The number of boys this year= 480 – 30
The number of boys this year=450
Step 4: To calculate the fraction by what the number of boys had been reduced.
The number of boys reduced= the number of boys last year - the number of boys this year
The number of boys reduced= 495 - 450 = 45
The fraction by what the number of boys had been reduced
= The number of boys reduced/the number of boys last year
Therefore,
The fraction by what the number of boys had been reduced= 45/495= 1/11
Answer:
1/11
Step-by-step explanation:
The number of boys in school last year will be [tex]400+95=495[/tex].
We are told that next year number of girls increased by 1/5. Next year number of girls in the school will be [tex]400+400*\frac{1}{5} =400+80=480[/tex].
We are told that next year number of boys was 30 less than number of girls. So next year number of boys will be [tex]480-30=450[/tex].
To find the factor at which number of boys reduced we will find the difference of number of boys between both years and divide by initial number of boys.
[tex]\frac{495-450}{495} =\frac{45}{495}[/tex]
[tex]\frac{1}{11}[/tex]
Therefore, number of boys had been reduced by 1/11.
