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There are at least three times as many boys as (average)
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02 Dec 2020, 09:06
02 Dec 2020, 09:06
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There are at least three times as many boys as girls in a class. On a test, the boys’ average score is 78, and the girls’ average score is 94. Which of the following could be the average test score for the entire class?
Indicate all such values.
A. 88
B. 86
C. 84
D. 82
E. 80
Kudos for the right answer and explanation
Indicate all such values.
A. 88
B. 86
C. 84
D. 82
E. 80
Kudos for the right answer and explanation
Re: There are at least three times as many boys as (average)
[#permalink]
06 Jan 2021, 01:12
06 Jan 2021, 01:12
3
[quote="Carcass"]There are at least three times as many boys as girls in a class. On a test, the boys’ average score is 78, and the girls’ average score is 94. Which of the following could be the average test score for the entire class?
Indicate all such values.
A. 88
B. 86
C. 84
D. 82
E. 80
For every 3 boys there is 1 girl. That implies for every 75 boys there are 25 girls. This totals to 100 students so that we can compare with 100%.
Sum of boy's marks + Sum of girl's marks --> 78x75 + 94x25 = 8200.
Average of entire class --> 8200/100 = 82.
The question says there are at least 3 boys for every girl. So, the ratio of boys to girls can increase to 4 to 1 or even more, in this case number of boys will increase and the average of the entire class will decrease because boys' average is 78, which is less than girls.
So, the best answers will be 82 and 80.
Indicate all such values.
A. 88
B. 86
C. 84
D. 82
E. 80
For every 3 boys there is 1 girl. That implies for every 75 boys there are 25 girls. This totals to 100 students so that we can compare with 100%.
Sum of boy's marks + Sum of girl's marks --> 78x75 + 94x25 = 8200.
Average of entire class --> 8200/100 = 82.
The question says there are at least 3 boys for every girl. So, the ratio of boys to girls can increase to 4 to 1 or even more, in this case number of boys will increase and the average of the entire class will decrease because boys' average is 78, which is less than girls.
So, the best answers will be 82 and 80.
Re: There are at least three times as many boys as (average)
[#permalink]
18 Jan 2021, 23:35
18 Jan 2021, 23:35
1
In a class the ratio of girls to boys is atleast \(1:3\); where the number of boys could be more.
The average of Boys score is 78
The average of Girls score is 94
If we take the total avg based off these numbers we get,
\(78* \frac{3}{4} + 94 * \frac{1}{4}\) This is because for every 4 people in class there are 3 boys and 1 girl at least.
This will calculate to 82.
Now The avg of the whole class will be less as more boys are put in the calculation. So 80 also makes the cut.
Ans is D and E.
The average of Boys score is 78
The average of Girls score is 94
If we take the total avg based off these numbers we get,
\(78* \frac{3}{4} + 94 * \frac{1}{4}\) This is because for every 4 people in class there are 3 boys and 1 girl at least.
This will calculate to 82.
Now The avg of the whole class will be less as more boys are put in the calculation. So 80 also makes the cut.
Ans is D and E.
