The key club made $192 at their candle sale.They sold round candles for $4 and square candles for $6.If they sold twice as many
2 answers:
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Answer:
The constant of variation is 4032
Step-by-step explanation:
Given:
Let a rectangle (say A) has length of rectangle(l)= 72 cm and width of rectangle(w) = 56 cm.
Area of rectangle is multiply its length by its width.
Then,
area of rectangle (A) = =
= 4,032 square cm.
It is given that the other rectangle B has the same area as the rectangle A.
Then, the area of rectangle (B) = area of rectangle (A) = 4,032 square cm. .......[1]
First find the length of rectangle B:
Given: width of the rectangle B is 21 cm
then, by definition
Area of rectangle B = =
From [1];
4032 =
Divide 21 both sides we get;
cm
therefore, the length of rectangle B is 192 cm
To find the constant variation:
if y varies inversely as x
i.e,
⇒ where k is the constant variation.
or k = xy
As area of rectangle is multiply its length by width.
This is the inversely variation.
as:
or where A is the constant of variation
Since, the area (A) of both the rectangles are constant.
therefore, the constant of variation is, 4032
Let 
be the tickets that the adults bought, and
be the tickets that children bought.
From the problem we have the system of linear equations:
The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and then, solve for
Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
Last but not least, to find the total number of tickets, we are going to add and 
:
We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>
From the problem we have the system of linear equations:
The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and then, solve for
Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
Last but not least, to find the total number of tickets, we are going to add
We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>