Agroup of 266 persons consists of men, woman, and children. there are four times as many mens as children and twice as many as woman as children. how many of each are there.

There are 38 children, 152 men, and 76 women in the group.

Solution:

Given that group of 266 persons consists of men, woman, and children

Let "c" be the number of children

Given that There are four times as many mens as children

Number of mens = 4(number of children)

number of men = 4c  --- eqn 1

And twice as many as woman as children

Number of woman = 2(number of children)

number of woman = 2c eqn 2

Given there are a group of 266 persons consists of men, woman, and children

number of men + number of woman + number of children = 266

Substitute eqn 1 and eqn 2 in above expression

4c + 2c + c = 266

7c = 266

c = 38

Thus from eqn 1,

number of men = 4c = 4(38) = 152

From eqn 2,

number of woman = 2c = 2(38) = 76

Thus there are 38 children, 152 men, and 76 women in the group.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional