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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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Question Stats:
80% (01:53) correct
20% (01:22) wrong based on 5 sessions
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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
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
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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 = 5𝑥
It is given that the average sale in the weekend (Saturday and Sunday) is 3 times of 𝑥.
So, average sale in the weekend = 3𝑥
Average sale in the weekend =
3x=𝑆𝑢𝑚 𝑜𝑓 𝑠𝑎𝑙𝑒𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑤𝑒𝑒𝑘𝑒𝑛/2
Sum of sales in the weekend (on Saturday and Sunday) = (3𝑥) × (2) = 6𝑥
So, total sum of sales in the week = Sum of sales from Monday to Friday + Sum of
sales in the weekend = 5𝑥 + 6𝑥 = 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 = 5𝑥
It is given that the average sale in the weekend (Saturday and Sunday) is 3 times of 𝑥.
So, average sale in the weekend = 3𝑥
Average sale in the weekend =
3x=𝑆𝑢𝑚 𝑜𝑓 𝑠𝑎𝑙𝑒𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑤𝑒𝑒𝑘𝑒𝑛/2
Sum of sales in the weekend (on Saturday and Sunday) = (3𝑥) × (2) = 6𝑥
So, total sum of sales in the week = Sum of sales from Monday to Friday + Sum of
sales in the weekend = 5𝑥 + 6𝑥 = 11x
6x/11x=6/11
Intern
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
[#permalink]
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
