in a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. how many students are 10 years old?
Answers
then 50% of x=x/2
1/20 of x=x/20
1/10 of x =x/10
remaining 70 students .
now we have ,
x/2=x/20+x/10+70
LCM of 20 and 10=20
x/2={(x+2x)/20}+70
x/2=3x/20+70
x/2=(1400+3x)/20
20x=2{(1400+3x)}
20x=2800+6x
20x-6x=2800
14x=2800
x=2800/14
x=200.
number of 10 year old students are = x/20
=200/20
=10.
Step-by-step explanation:
In a school, 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
x/2 < 10
x/20=10
Between 10 and 12 = x/10
Correct? Now we’re gonna clarify some things. X is the total students count. In order to find the remaining students, we’re gonna substract the varied things that i listed above from X to find 70.
x-(x/2+x/20+x/10) = 70
Remember that X is the total students count. The variables i listed is the things that were clarified. So if we were to substract those, we could find the ‘remaining’ students which is 70.
x-(10x/20+x/20+2x/10) = 70
Simplifying basically, you know this too
x-(13x/20) = 70
the 20 below the 13 goes out as multiplication. This is substraction so we
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
50%= younger than 10
1/20=10 years old
1/10=older than 10 younger than 12
70=12 years or older
50%- 10/20
1/20-1/20
1/10-2/20
10/20+1/20+2/20=13/20
70 students =7/20
1/20 = 10 years old.
7/20 divided by 7 = 1/20
70 divided by 7=10
10 students are 10 years old