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In a given week, the average sales in weekends (Sat and Sun) are equal
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24 Jul 2023, 00:37
24 Jul 2023, 00:37
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In a given week, the average sales in weekends (Sat and Sun) are equal to three times the average sales of rest of the five days of the week. The sales in the weekend is what fraction of the total sales in the week?
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6/11
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Re: In a given week, the average sales in weekends (Sat and Sun) are equal
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17 Sep 2023, 10:46
17 Sep 2023, 10:46
Expert Reply
OE
It is given that in a given week, the average sales in weekends are equal to three
times the average sales of rest of the five days of the week.
We need to find sales in the weekend is what fraction of the total sales in the week.
Average sale from Monday to Friday = Sum of the sales from Monday to Friday/5
Sum of sales from Monday to Friday = 5๐ฅ
It is given that the average sale in the weekend (Saturday and Sunday) is 3 times of ๐ฅ.
So, average sale in the weekend = 3๐ฅ
Average sale in the weekend =
3x=๐๐ข๐ ๐๐ ๐ ๐๐๐๐ ๐๐ ๐กโ๐ ๐ค๐๐๐๐๐/2
Sum of sales in the weekend (on Saturday and Sunday) = (3๐ฅ) ร (2) = 6๐ฅ
So, total sum of sales in the week = Sum of sales from Monday to Friday + Sum of
sales in the weekend = 5๐ฅ + 6๐ฅ = 11x
6x/11x=6/11
It is given that in a given week, the average sales in weekends are equal to three
times the average sales of rest of the five days of the week.
We need to find sales in the weekend is what fraction of the total sales in the week.
Average sale from Monday to Friday = Sum of the sales from Monday to Friday/5
Sum of sales from Monday to Friday = 5๐ฅ
It is given that the average sale in the weekend (Saturday and Sunday) is 3 times of ๐ฅ.
So, average sale in the weekend = 3๐ฅ
Average sale in the weekend =
3x=๐๐ข๐ ๐๐ ๐ ๐๐๐๐ ๐๐ ๐กโ๐ ๐ค๐๐๐๐๐/2
Sum of sales in the weekend (on Saturday and Sunday) = (3๐ฅ) ร (2) = 6๐ฅ
So, total sum of sales in the week = Sum of sales from Monday to Friday + Sum of
sales in the weekend = 5๐ฅ + 6๐ฅ = 11x
6x/11x=6/11
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Joined: 11 Sep 2023
Posts: 43
Given Kudos: 5
GRE 1: Q155 V141
Re: In a given week, the average sales in weekends (Sat and Sun) are equal
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10 Oct 2023, 04:22
10 Oct 2023, 04:22
Let the 5 days of week be a,b,c,d,e
average of 5 days of week = (a+b+c+d+e)/5 = x
Now, let the weekends be f & g
average of 2 days of weekend = (f+g)/2=y
Now, we have given that y=3x
Therefore, x = y/3
Now the average of whole week = (5x+2y)/7
Dividing, (average of 2 days of weekend)/(average of whole week)
= (2y)/((5x+2y)/7)
= 2y*3/11y
= 6/11
average of 5 days of week = (a+b+c+d+e)/5 = x
Now, let the weekends be f & g
average of 2 days of weekend = (f+g)/2=y
Now, we have given that y=3x
Therefore, x = y/3
Now the average of whole week = (5x+2y)/7
Dividing, (average of 2 days of weekend)/(average of whole week)
= (2y)/((5x+2y)/7)
= 2y*3/11y
= 6/11
