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iandadude
04.10.2019 •
Mathematics
Class a has x students and class b has y students. the average of class a is 85 and class b is 90. when the scores of class a and b are combine the average is 88, what is the ratio of x to y
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Ответ:
In similar manner, we are able to find for the total scores of the students from Class B. That would be, 90y.
Combining the scores, the new average then becomes 88. This is equal to,
(85x + 90y) / (x + y ) = 88
Cross-multiplying,
85x + 90y = 88x + 88y
Combine all the x's and y's in each side of the equation.
85x - 88x = 88y - 90y
Combining terms,
-3x = -2y
The ratio is obtained through the step below,
-3x/-3y = -2y/-3y
x/y = 2/3
Thus, the ratio is 2/3.
Ответ:
3x=20-5
3x=15
3x/3=15/3
X=5