A local foundation organized a lunch party for all the kids in the community. They ordered a total of 500 burger meals. They ordered plain burgers at $1.75 each cheeseburgers at $2.50 each, and chicken burgers
at $3.20 each. They ordered mostly cheeseburgers, and 100 fewer chicken burgers than plain burgers. The total order came to $1.172.50.
Define the variables and write a system of equations to represent the
situation.

9514 1404 393

Answer:

Step-by-step explanation:

Let x, y, z represent the numbers of cheeseburgers, plain burgers, and chicken burgers ordered for the party.

We have three relations given. Each can be used to write an equation.

  x + y + z = 500 . . . . . . . . . a total of 500 meals were ordered

  2.50x +1.75y +3.20z = 1172.50 . . . . . the total cost

  0x +y -z = 100  . . . . . . . . . . 100 fewer chicken were ordered than plain

_____

Additional comment

We put the coefficient of x as 0 in the last equation to facilitate writing this system as an augmented matrix.

  [tex]\left[\begin{array}{ccc|c}1&1&1&500\\2.50&1.75&3.20&1172.50\\0&1&-1&100\end{array}\right][/tex]

The solution is (x, y, z) = (300, 150, 50).

Help would be really helpful !

A boutique sold $127.50 worth of purses. How many purses did they sell?
$7.50

PLEASE HELP WILL MARK BRAINLIEST!

Can someone help me out please.

6 cups is how many times as much as 24 cups?

Let the measures in degrees of the three angles of a triangle be x y and z. If y equals 2z and z equals 0.5x-30 then what is the measure in degrees of the largest angle in the triangle

The price of Stock A at 9 AM. was $13.38. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $14.13. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

Subtract 85 - 43. Simplify the answer and write as a mixed number?

How much is 1 dime and two nickels

subtract from 15 the sum of 2⅓ and 4⅖​

please i don’t wanna fail just give me the right answer thanks<3

PLEAZE HELP SOON FASTES ANSWER GETS BRAINLIEST

At HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $17 per member and the number of members is 81 when annual membership fee is $24 per member. As the operator of the gym, you found out that number of members (q) and membership fee (p) have a linear relationship.

A) At what membership price, p, is the revenue maximized?
p=$??. Round your answer to 2 decimal places.

B) What is the maximum annual revenue?
R=$??. Round your answer to 2 decimal places.

Note: Round all coefficients of your revenue function to 2 decimal places.

Please help!! Will make brainliest!

5)
4
3
2
1
3
-2
-1
1
- 1
2
3 4
2
3
-4
-6
Find the slope of the line graphed.
My Answer:

easy question - giving brainly is correct and work is shown!
click on the file to see the question. YOU MUST USE A PROPORTION TO SOLVE.​

for selling magazines jenng is paid 15% commission of the tot sales if she recivied $14.88 one week what were her total sales​

Again I need help thank you :)

Solve for p.


3(p + q) = p


A. q = â€"two-thirds

B. q = â€"start fraction three over two end fraction

C. p = â€"two-thirds

D. p = â€"start fraction three over two end fraction


Solve for b, then find the value of b when a = 3.


4a = 2b â’ 7

A. â€"nine-halves

B. five-halves

C. nineteen-halves

D. 17


d = rt

A. r = dt

B. r equals t over d

C. r equals d over t

D. r equals d minus t


Find the width of a rectangle with a perimeter of 90 and a length of 15.

A. 90

B. 15

C. 45

D. 30

Volume of this prism

8. A cyclist can travel 18.6 miles in 3 hours. At this rate, how far can the same cyclist travel in 30 minutes?
a.6.2 miles
b.3.1 miles
c. 12.4 miles.
d. 16.2 miles

put these fractions in order from least to greatest

6/11 1/8 8/12​

HELP….ILL GIVE BRAINLIEST

tickets to an all star game cost $ 3 dollars a child 5 for an adult 90 tickets were sold and 328 dollars were made.how many of each ticket were sold

a cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. how fast is the height of the water increasing?

8. Melody subscribes to a coffee service. For $10 a month, Melody is able to purchase a cup of coffee for the
discounted price of $2 for each cup. This situation can be modeled by the function f(x) = 2x+10, where x
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(D)
Which answer choices best describe the domain and range of f?
Choose TWO correct answers from the 5 choices.
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The range of the function is 102y 2:22.
The domain of the function is 02 x 6. (S-V)E- = (-)5 noitsupe er zelam v to oulev derW.A
The domain of the function is (10, 12, 14, 16, 18, 20, 22).
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The range of the function is {10, 12, 14, 16, 18, 20, 22}
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А A
v brex noswiad girlanousion seri seworla data

solve pls brainliest!

Pleaseeee help asappp!

Question 10 (5 points)

Seven values on the number line above are marked with letters. Match the opposites.
Question 10 options:

A) C and L; F and H

B) F and H; Y and Y

C) C and L; A and K

D) A and K; F and H

4) Ashley's Bikes rents bikes for S13 plus $5

per hour. Mary paid $38 to rent a bike.

For how many

hours did she rent the bike?

NUMBER 3!!!!!!!!!!!!!!!!!