The Eskimos are trying to generate more money because player wages are increasing. they have came up with a couple of plans:
Plan 1 : they are going to open up 1850 new seats in the endzone that will be reserved for family seating. they project that they will, on average, get 1850 adults and children to fill those seats if they charge $4.50 per child and $7.50 per adult and they should make $10125.00
a)how many adults and children are needed per game (solve using substitution)
b)how many money do they generate over the course of a 16 game season?
Plan 2: they are planning to sell 75 year anniversary logo football to help raise money. an original full size logo football will sell for $22 and a miniature logo football will sell for $6. if they sell all 6000 footballs they ordered they can make $76000.
c) how many of each type of football did they order?(solve using elimination)
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what do you mean show my work. do you mean show what i have done, if i don't know the question how can i show my work? i just need to know how to do it. so i can practice on it.
You just need to read through the words and write down the mathematical facts.
They want to know how many adults and children were admitted. So, let's say there are
a adults and
c children.
1850 adults and children means
a+c = 1850
$4.50 per child and $7.50 per adult and they should make $10125.00 means
4.50c + 7.50a = 10125
Since you now know that a = 1850-c, you can use that to get
4.50c + 7.50(1850-c) = 10125
c = 1250
and now you can easily find a.
Don't just throw up your hands and say you don't have any idea. By the time you encounter a problem like this, you should have
(a) had enough schooling to understand plain English
(b) had enough math to translate simple ideas into symbols.
Anyone can solve an equation. The trick in the real world is to encounter a problem and know how to arrive at the equation that represents it.
To solve the given problems, we can use the system of equations and solve them using either substitution or elimination method. Let's solve each problem step by step:
Plan 1: Finding the number of adults and children needed per game using substitution method.
Let's assume the number of adults attending the game is 'a' and the number of children attending the game is 'c'.
From the given information:
Number of adults and children = 1850
Total revenue generated = $10125.00
We can set up the following equations based on the given information:
Equation 1: a + c = 1850 (representing the total number of adults and children attending)
Equation 2: 7.50a + 4.50c = 10125.00 (representing the total revenue generated)
To solve the system of equations using substitution, we can solve Equation 1 for 'a' or 'c', and substitute it into Equation 2.
From Equation 1, we have a = 1850 - c.
Substituting this value of 'a' in Equation 2:
7.50(1850 - c) + 4.50c = 10125.00
Now, simplify and solve for 'c':
13875 - 7.50c + 4.50c = 10125.00
3c = 10125.00 - 13875
3c = -3750
c = -3750 / 3
c = -1250
Since we cannot have a negative number of children attending the game, it seems there might be an error in the given information or calculation. Please double-check the given information and provide the correct values if possible.
Plan 2: Finding the number of each type of football ordered using elimination method.
Let's assume the number of full-size logo footballs ordered is 'f' and the number of miniature logo footballs ordered is 'm'.
From the given information:
Total number of footballs ordered = 6000
Total revenue generated = $76000
We can set up the following equations based on the given information:
Equation 3: f + m = 6000 (representing the total number of footballs ordered)
Equation 4: 22f + 6m = 76000 (representing the total revenue generated)
To solve the system of equations using elimination, we can multiply Equation 3 by 6 and Equation 4 by -1, and then add the two equations to eliminate one variable.
6f + 6m = 36000
-22f - 6m = -76000
Adding the two equations:
-16f = -40000
f = -40000 / -16
f = 2500
Substituting this value of 'f' in Equation 3:
2500 + m = 6000
m = 6000 - 2500
m = 3500
Therefore, the Eskimos ordered 2500 full-size logo footballs and 3500 miniature logo footballs.