+0  
 
+5
662
5
avatar+414 

24% of the people at a shopping mall are men. The number of boys is 3/8 of the number of men. The number of women is 4 times the number of boys. The number of girls is 504 more than the number of men. How many males are there in the shopping mall?(please answer in a specific primary 5 way as my nephew is primary5)

 Aug 10, 2015

Best Answer 

 #1
avatar+21860 
+15

24% of the people at a shopping mall are men. The number of boys is 3/8 of the number of men. The number of women is 4 times the number of boys. The number of girls is 504 more than the number of men. How many males are there in the shopping mall?

x are the number of all people.

m = men,  b = boys, w = women, g = girls

 

$$\small{
\begin{array}{rcl}
m&=& 0,24x\\\\
b&=& \dfrac{3}{8}m \\
w &=& 4\cdot b = 4\cdot \dfrac{3}{8}m = \dfrac{3}{2}m\\
g &=& 504 + m\\\\
x &=& m+b+w+g\\\\
x &=& m + \dfrac{3}{8}m+\dfrac{3}{2}m+504 + m\\\\
x &=& 2m+ \dfrac{3}{8}m+\dfrac{3}{2}m+504 \\\\
x &=& \dfrac{16+3+12}{8}m+504\\\\
x &=& \dfrac{31}{8}m+504\\\\
x &=& \dfrac{31}{8}\cdot 0.24x+504\\\\
x &=& 31\cdot 0.03x+504\\\\
x &=& 0.93x+504\\\\
x- 0.93x &=&504\\\\
0.07x &=&504\\\\
x &=& \dfrac{504\cdot 100}{7}\\\\
x &=& 7200\\\\
m &=& 0.24x\\
m &=& 0.24\cdot 7200 \\
\mathbf{m} & \mathbf{=} & \mathbf{1728}
\end{array}
}$$

 

There are 1728 males in the shopping mall

Boys = 648

Woman = 2592

Girls = 2232

 

 Aug 10, 2015
 #1
avatar+21860 
+15
Best Answer

24% of the people at a shopping mall are men. The number of boys is 3/8 of the number of men. The number of women is 4 times the number of boys. The number of girls is 504 more than the number of men. How many males are there in the shopping mall?

x are the number of all people.

m = men,  b = boys, w = women, g = girls

 

$$\small{
\begin{array}{rcl}
m&=& 0,24x\\\\
b&=& \dfrac{3}{8}m \\
w &=& 4\cdot b = 4\cdot \dfrac{3}{8}m = \dfrac{3}{2}m\\
g &=& 504 + m\\\\
x &=& m+b+w+g\\\\
x &=& m + \dfrac{3}{8}m+\dfrac{3}{2}m+504 + m\\\\
x &=& 2m+ \dfrac{3}{8}m+\dfrac{3}{2}m+504 \\\\
x &=& \dfrac{16+3+12}{8}m+504\\\\
x &=& \dfrac{31}{8}m+504\\\\
x &=& \dfrac{31}{8}\cdot 0.24x+504\\\\
x &=& 31\cdot 0.03x+504\\\\
x &=& 0.93x+504\\\\
x- 0.93x &=&504\\\\
0.07x &=&504\\\\
x &=& \dfrac{504\cdot 100}{7}\\\\
x &=& 7200\\\\
m &=& 0.24x\\
m &=& 0.24\cdot 7200 \\
\mathbf{m} & \mathbf{=} & \mathbf{1728}
\end{array}
}$$

 

There are 1728 males in the shopping mall

Boys = 648

Woman = 2592

Girls = 2232

 

heureka Aug 10, 2015
 #2
avatar+98196 
+10

Let T be the total number of people......

 

The, the men = .24T ....  The number of boys =(3/8)*.24T = .09T ..... The number of women = .36T   and The number of girls =  (1 - .24 - .09 - .36)T  = .31T

 

And we know that

 

.24T + 504  = .31T      subtract . 24T from both sides

 

.07T  = 504        divide both sides by .07

 

T =504/.07 = 7200 = T = the total number of people

 

And the number of males = (.24 + .09)(7200)  = .33(7200)  = 2376

 

And the number of females is (.31 + .36)T = (.67)(7200)  = 4824

 

 

  

 Aug 11, 2015
 #3
avatar+99356 
0

There seems to be some disagreement here.    

 Aug 12, 2015
 #4
avatar+98196 
+5

Actually, Melody.....I think heureka meant to say that there are 1728 men in the mall.....if you add this to the 648 boys, you have my answer of 2376 males

 

 

 

  

 Aug 12, 2015
 #5
avatar+99356 
0

Thanks for clearing that up Chris :))

 Aug 12, 2015

40 Online Users

avatar
avatar
avatar
avatar