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Husain and Dino had an average (arithmetic mean) of $20 each
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29 Aug 2018, 16:25
29 Aug 2018, 16:25
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95% (00:54) correct
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Husain and Dino had an average (arithmetic mean) of $20 each. Dino then won a cash prize, which increased the average amount of money they had to $80. If no other changes occurred, how many dollars did Dino win?
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$120
Re: Husain and Dino had an average (arithmetic mean) of $20 each
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02 Sep 2018, 02:24
02 Sep 2018, 02:24
Average expression -> (H + D)/2 = 20
=> H + D = 40 ..(1)
Let C be the cash prize won by Dino
it's given that the new avg is 80, so, [H + (D+C)]/2 = 80
expanding which we get -> H + D + C = 160 ...(2)
from (1) we know H+D is 40
Putting this value in (2) gives us C=120.
Hence the cash prize is 120
=> H + D = 40 ..(1)
Let C be the cash prize won by Dino
it's given that the new avg is 80, so, [H + (D+C)]/2 = 80
expanding which we get -> H + D + C = 160 ...(2)
from (1) we know H+D is 40
Putting this value in (2) gives us C=120.
Hence the cash prize is 120
Re: Husain and Dino had an average (arithmetic mean) of $20 each
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01 Oct 2024, 19:33
01 Oct 2024, 19:33
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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