At an international dinner 1/5 of the people attending were from South

Question

At an international dinner 1/5 of the people attending were from South America. If the number of North Americans at the dinner was 2/3 greater than the number of South Americans, what fraction of people at the dinner were from neither South America nor North America?

A. 1/5
B. 2/5
C. 7/15
D. 8/15
E. 2/3

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suj11 · Answer

Let total no. of people be x

So, total no. of people from SA = x/5
and, total no. of people from NA = 2/3 greater than the number of South Americans

Translating:
2/3 greater than the number of South Americans means that its is two-thirds more than the value of South American.
First we need to find 2/3 of the value which is 2/3 of No. of SAs = 2/3(x/5)
Then we need to account for the "more part" which means addition = (x/5) + 2/3(x/5) = x/3

To find fraction of people at the dinner were from neither South America nor North America: Total - No. of people from SA - No. of people from NA
= x - x/5 - x/3
= (15x - 3x - 5x)/15
= 7x/15

Therefore, the fraction is 7/5.

The answer is  C .

Note the translation here: To find the value that is 2/3 greater than x, we need to calculate an increase of two-thirds relative to x.

Shwarma · Answer

Option C

SA= 1/5 x

NA= 2/3(1/5)x+1/5x -> wording was tricky but this what I derived

SA+NA= 8/15x --A

Total - A = 1-8/15x= 7/15x

Nidzo · Answer

South American:   \frac{1}{5}

North American:  
" the number of North Americans at the dinner was 2/3 greater than the number of South Americans "

\frac{1}{5} * (\frac{3}{3} + \frac{2}{3})

\frac{1}{5}*\frac{5}{3}

\frac{1}{3}

South American + North American:   \frac{1}{5}+\frac{1}{3} = \frac{8}{15}

Fraction of people at the dinner were from neither South America nor North America:   1 - \frac{8}{15} =\frac{7}{15}

ANSWER C

Purnank · Answer

Going with the LCM of 3 and 5, Assuming total number of peoples who attended international dinner are 15.
1st - 1/5 of the people attending were from South America = 1/5 * 15 = 3
2nd - If the number of North Americans at the dinner was 2/3 greater than the number of South Americans = (1+2/3) * 3 = 5
Therefore,
fraction of people at the dinner were from neither South America nor North America = (15-3-5) / 15 = 7/15
C.

Legenddary1234 · Answer

To solve this problem, we start by denoting the total number of people at the dinner as ( N ).

South Americans: Given that 1/5 of the people were from South America, the number of South Americans is:

North Americans: It is stated that the number of North Americans was 2/3 greater than the number of South Americans. First, calculate 2/3 of the number of South Americans:   Then, add this to the number of South Americans to find the total number of North Americans:

Sum of South Americans and North Americans:

Neither South Americans nor North Americans: The fraction of people who were neither from South America nor North America is:

Therefore, (\frac{7}{15}) of the people at the dinner were from neither South America nor North America.

Tushar2804 · Answer

Let the total number of participants be x. so x/5 will be the number of South Americans. 
Now the number of North Americans are 2/3 greater than the number of South Americans. So the equation can be denoted as x/5 + 2/3(x/5) which is x/3

The total of South and North Americans is x/5 + x/3 which is 8x/15

Since we assumed total people is x, the remaining people will be x - 8x/15 = 7x/15

So 7/15 fraction of people are from other places - Option (C).

bumpbot · Answer

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At an international dinner 1/5 of the people attending were from South

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At an international dinner 1/5 of the people attending were from South

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