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Mr. Smith's average annual income in each of the years 1966
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30 Apr 2019, 01:19
30 Apr 2019, 01:19
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Question Stats:
83% (00:52) correct
16% (00:25) wrong based on 12 sessions
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Mr. Smith's average annual income in each of the years 1966 and 1967 is x dollars. His average annual income in each of the years 1968, 1969, and 1970 is y dollars. What is his average annual income in the five continuous years 1966 through 1970?
(A) \(\frac{2x}{5} + \frac{3y}{5}\)
(B) \(\frac{x}{2} + \frac{y}{2}\)
(C) \(5(x + y)\)
(D) \(\frac{5x}{2} + \frac{5y}{2}\)
(E) \(\frac{3x}{5} + \frac{2y}{5}\)
(A) \(\frac{2x}{5} + \frac{3y}{5}\)
(B) \(\frac{x}{2} + \frac{y}{2}\)
(C) \(5(x + y)\)
(D) \(\frac{5x}{2} + \frac{5y}{2}\)
(E) \(\frac{3x}{5} + \frac{2y}{5}\)
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Re: Mr. Smith's average annual income in each of the years 1966
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20 Apr 2020, 14:39
20 Apr 2020, 14:39
1
Incomes for each individual year
1966: x dollars
1967: x dollars
1968: y dollars
1969: y dollars
1970: y dollars
Average annual income for the five years = (sum of all incomes)/5
= (x + x + y + y + y)/5
= (2x + 3y)/5
Check the answers......(2x + 3y)/5 can't be found.
This means that either our calculations are incorrect or we need to rewrite the expression a different way.
Nice fraction property: \(\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}\)
So, (2x + 3y)/5 = 2x/5 + 3y/5
Answer: A
Cheers,
Brent
1966: x dollars
1967: x dollars
1968: y dollars
1969: y dollars
1970: y dollars
Average annual income for the five years = (sum of all incomes)/5
= (x + x + y + y + y)/5
= (2x + 3y)/5
Check the answers......(2x + 3y)/5 can't be found.
This means that either our calculations are incorrect or we need to rewrite the expression a different way.
Nice fraction property: \(\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}\)
So, (2x + 3y)/5 = 2x/5 + 3y/5
Answer: A
Cheers,
Brent
gmatclubot
Re: Mr. Smith's average annual income in each of the years 1966 [#permalink]
20 Apr 2020, 14:39
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