+0

# 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 b

+5
859
5
+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

#1
+24093
+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
+24093
+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

heureka Aug 10, 2015
#2
+107355
+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
+107500
0

There seems to be some disagreement here.

Aug 12, 2015
#4
+107355
+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
+107500
0

Thanks for clearing that up Chris :))

Aug 12, 2015