People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x
y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280
So we have 280 people in the building.
check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women
so we have 120 men, 100 women and 60 children!
hope this is right! have a great. day
Answer:
1/50
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The total number of yards is 360 yards
<h3>How to determine the number of yards?</h3>
The given parameters are:
Number of sheets = 8
Yard per sheet = 45 yards
The total number of yards is calculated as:
Total number of yards = Number of sheets * Yard per sheet
Substitute the known values in the above equation
Total number of yards = 8 * 45 yards
Evaluate the product
Total number of yards = 360 yards
Hence, the total number of yards is 360 yards
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Answer:
.
Step-by-step explanation:
Two angles are supplements of one another if their sum is 
.
Two angles are complements of one another if their sum is 
.
Let 
be the measure of the angle in question.
The supplement of this angle would be 
.
The complement of this angle would be 
.
According to the question:
.
Solve this equation for 
:
.
Thus, this angle would measure should .
The supplement of this angle would measure 
. The complement of this angle would measure 
.
Three times the complement of this angle would be 
, which is indeed 
greater than the supplement of this angle.
