հҽվ!! ցմվ's ցմժ ҽѵҽ♡
ɪɴ ᴀ ꜱᴄʜᴏᴏʟ 50% ᴏꜰ ᴛʜᴇ ꜱᴛᴜᴅᴇɴᴛꜱ ᴀʀᴇ ʏᴏᴜɴɢᴇʀ ᴛʜᴀɴ 10, 1/20 ᴀʀᴇ 10 ʏᴇᴀʀꜱ ᴏʟᴅ ᴀɴᴅ 1/10 ᴀʀᴇ ᴏʟᴅᴇʀ ᴛʜᴀɴ 10 ʙᴜᴛ ʏᴏᴜɴɢᴇʀ ᴛʜᴀɴ 12, ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ 70 ꜱᴛᴜᴅᴇɴᴛꜱ ᴀʀᴇ 12 ʏᴇᴀʀꜱ ᴏʀ ᴏʟᴅᴇʀ. ʜᴏᴡ ᴍᴀɴʏ ꜱᴛᴜᴅᴇɴᴛꜱ ᴀʀᴇ 10 ʏᴇᴀʀꜱ ᴏʟᴅ?
sᴘᴀᴍ ✔xᴅxᴅ
Answers
Let us write the fraction for each group of students.
Group A:
10:50%=50√100= 1√2
Group B:
10 years old: 1/20
Group C:
Older that 10 but younger than 12: 1/10
Group D:
12 years or older : 70 students
The fraction for group A, B and C together is given by..
1/2+1/20+1/10=10/20 +1/20+2/20= 13/20
(Common denominator)
The fraction for group D is given by..
20/20 – 13/20 = 7/20
and corresponds to 70 students..
If X is the total number of students, then..
→ 7/20 of X = 70
or (7/ 20) × X = 70
Solve for X
X = 70×(20/7)= 200
(20/7)= 200
Students who are 10 years old have a fraction of 1/ 20 of the total X and their number is equal to.
(1/20) of 200 = 10 students.
Step-by-step explanation:
SOLUTION
Let us write the fraction for each group of students..
Group A :
10: 50\% = 50 \sqrt{100 \: } = 1 \sqrt{2}10:50%=50100=12
\begin{gathered} \\ \end{gathered}
Group B : 10 years old: 1/20
\begin{gathered} \\ \end{gathered}
Group C : older that 10 but younger than 12: 1/10
\begin{gathered} \\ \end{gathered}
Group D : 12 years or older : 70 students
\begin{gathered} \\ \end{gathered}
The fraction for group A, B and C together is given by..
\begin{gathered} \\ \end{gathered}
1 / 2 + 1 / 20 + 1 / 10 = 10 / 20 + 1 / 20 + 2 / 201/2+1/20+1/10=10/20+1/20+2/20
, common denominator
\begin{gathered} \\ \end{gathered}
= 13 / 20 =13/20
, add numerators
\begin{gathered} \\ \end{gathered}
The fraction for group D is given by..
\begin{gathered} \\ \end{gathered}
20 / 20 - 13 / 20 = 7 / 2020/20−13/20=7/20
and corresponds to 70 students..
\begin{gathered} \\ \end{gathered}
If X is the total number of students, then..
7 / 20 of X = 70
or (7 / 20) × X = 70
Solve for X
X = 70 × (20 / 7) = 200X=70×(20/7)=200
Students who are 10 years old have a fraction of 1 / 20 of the total X and their number is equal to..
(1 / 20) \: of \: 200 = 10 \: students(1/20)of200=student