Solve the following equation algebraically:
2 answers:
You might be interested in
Answer:
Option (3)
Step-by-step explanation:
From the picture attached,
Bar graph sketched shows the grades earned by the students in an exam.
Number of students who achieved the grade A = 17
Number of students who achieved grade B = 14
Number of students with grade C = 5
Number of students with grade D = 9
Total students who took the exam = 17 + 14 + 5 + 9 = 45
Option (1)
" of the students earned a C"
Fraction of students who earned C =
=
=
Therefore, this option is incorrect.
Option (2)
"3% more students earned an A then B"
Percentage of students who earned A =
=
= 37.78%
Percentage of students who earned B =
=
= 31.11%
Difference in percentage = 37.78 - 31.11
= 6.67%
Therefore, this option is not correct.
Option (3)
"20% of the students earned a D"
Percentage of students who earned D =
=
= 20%
Option (3) is the correct option.
Option (4)
" of the class earned a B"
Fraction of class who earned B =
=
Therefore, Option (4) is not correct.
Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:
From equation 1:
Putting the value of y in equation 2
Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation
Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.