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A photographer has visited exactly 42 countries, all of whic
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10 Apr 2020, 09:25
10 Apr 2020, 09:25
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A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia. If the photographer has been to 6 more countries in Europe than in Asia, and twice as many in Africa as in Europe, how many countries in Asia has the photographer visited?
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6
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Re: A photographer has visited exactly 42 countries, all of whic
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10 Apr 2020, 23:21
10 Apr 2020, 23:21
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Carcass wrote:
A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia. If the photographer has been to 6 more countries in Europe than in Asia, and twice as many in Africa as in Europe, how many countries in Asia has the photographer visited?
Kudos for the right answer and explanation
Show: :: OA
6
Kudos for the right answer and explanation
let the number of countries visited in asia =x
europe = x + 6
africa = 2(x + 6)
x + x + 6 + 2(x + 6) = 42
x=6
countries visited in asia = 6
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Re: A photographer has visited exactly 42 countries, all of whic
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11 Apr 2020, 09:36
11 Apr 2020, 09:36
Carcass wrote:
A photographer has visited exactly 42 countries, all of which have been in Africa, Europe, or Asia. If the photographer has been to 6 more countries in Europe than in Asia, and twice as many in Africa as in Europe, how many countries in Asia has the photographer visited?
Kudos for the right answer and explanation
Show: :: OA
6
Kudos for the right answer and explanation
Let's solve the question using only one variable
The photographer has been to 6 more countries in Europe than in Asia
Let A = the number of countries visited in Asia
So, A + 6 = the number of countries visited in Europe
The photographer has been to and twice as many in Africa as in Europe
We already know that A + 6 = the number of countries visited in Europe
So, 2(A + 6) = the number of countries visited in Africa
The photographer has visited exactly 42 countries
We can write: A + (A + 6) + 2(A + 6) = 42
Expand and simplify the left side: 4A + 18 = 42
Subtract 18 from both sides: 4A = 24
Solve: A = 6
Answer: 6
Cheers,
Brent
