The average (arithmetic mean) of the test scores of class of a class of x students is 74, and the average of the test scores of a class of y students is 88. When the scores of both classes are combined, the average is 76.
What is value of x/y?
(x+y)76=x*76 + y88
divide both sides by y, and solve for x/y
herro my name is gondy
So x/y=6 right?
To find the value of x/y, we need to set up an equation using the information provided.
First, let's assign variables to the number of students in each class. Let x represent the number of students in the first class and y represent the number of students in the second class.
We know that the average of the test scores of the first class (x students) is 74, so the total sum of all the test scores in the first class is 74 * x.
Similarly, the average of the test scores of the second class (y students) is 88, so the total sum of all the test scores in the second class is 88 * y.
Now, since x students have an average score of 74, the sum of all their test scores is (74 * x). Similarly, the sum of all the test scores of y students is (88 * y).
When the scores of both classes are combined, the average is 76. This means that the total sum of all the test scores from both classes is (76 * (x + y)).
Setting up the equation:
(74 * x) + (88 * y) = 76 * (x + y)
Now, we can solve for x/y by simplifying the equation.
74x + 88y = 76x + 76y
74x - 76x = 76y - 88y
-2x = -12y
Divide both sides by -2:
x = 6y
Therefore, the value of x/y is 6.