To find the answer, set up a system of equations.
Let x=adult tickets and y=senior citizen tickets.
x+y=556
22x+12y=8492
Change the first equation to make it easy to combine with the second equation.
y=556-x
Now substitute (556-x) for y in the second equation.
22x+12(556-x)=8492
Simplify and combine like terms.
22x+6672-12x=8492
10x=1820
x=182
182 adult tickets were sold, so to solve for the number of senior citizen tickets sold, subtract 182 from 556.
556-182=374
374 senior citizen tickets were sold.
Total of 55 marbles.....if there are 11 red marbles, then there are (55 - 11) = 44 green marbles. So the ratio of red marbles to green marbles is :
11:44 which reduces to 1:4 or 1/4 or 1 to 4
2mm : 25'
half of the above
1mm : 25'/2 = 12.5'
Answer:
x represents the number of level 1 tickets; y represents the number of level 2 tickets
Step-by-step explanation:
The first equation (x + y = 1,000
) shows that x + y equal to the number of seats in the auditorium. That means that they represent the number of tickets. In the second equation (75x + 100y = 25,000) x and y are being multiplied by the cost of their level ticket. So x represents the number of level 1 tickets; y represents the number of level 2 tickets.
hope this helps!
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is
where b is the length side of the square
we have
substitute
therefore
step 2
Find the area of ACIG
The area of rectangle ACIG is equal to
substitute the given values
step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to
we have
substitute
step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to
we have
substitute
step 5
sum the shaded areas
step 6
Divide the area of of the shaded region by the area of ACIG
Simplify
Divide by 5 both numerator and denominator
therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
