Question

HELP PLEASE!!   80points!!!! I don't even care if its wrong... as long as its believable!

1. A local movie theater charges $12 for an adult ticket and $10 for a child’s ticket. A group of eight people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group?
Write a system of linear equations based on description.
Write 1 sentence to explain what the solution means for this situation

. 2. A child has a piggy bank that contains only quarters and dimes. Altogether, there are 27 coins in the bank and the total value of the coins is $4.50. How many quarters and how many dimes are in the piggy bank?
Write a system of linear equations based on description.
Write 1 sentence to explain what the solution means for this situation.

3. A new online store charges all customers one price to download any song and another price to download any game. Jenna paid $20.50 to download eight songs and three games, and Dwayne paid $22.50 to download four songs and five games. How much does the store charge to download each song and game?
Write a system of linear equations based on description.
Write 1 sentence to explain what the solution means for this situation.

4. A seafood company sells salmon and shrimp to local restaurants. The company charges its customers one price for salmon and another price for shrimp. One restaurant pays $166.83 for ten pounds of salmon and seven pounds of shrimp, while another pays $143.86 for five pounds of salmon and nine pounds of shrimp. How much does each seafood product cost per pound?
Write a system of linear equations based on description.
Write 1 sentence to explain what the solution means for this situation.

Answer 1

the answer is deeznuts

Explanation:

Answer 2

1.
Equation 1 ==> x + y = 8
Equation 2 ==> 12x + 10y = $86

12(x + y) = 12(8)
Equation 3 ==> 12x + 12y = 96
Equation 2 - 3
= (12x - 12x) + (10y - 12y)) = 86 - 96
-2y = -10
y = 5
Substitude y into equation 1
x + 5 = 8
x = 3

x means the number of adult tickets bought and y means the number of child tickets bought in the group.

2.
Equation 1 ==> 0.25x + 0.10y = $4.50
Equation 2 ==> x + y = 27

4(0.25x + 0.10y) = 4($4.50)
Equation 3 ==> x + 0.40y = $18
Equation 2 - 3
(x - x) + ( y - 0.40y) = 27 - 18
0.60y = 9
y = 15
Substitude y into equation 2
x + 15 = 27
x = 12

x means the number of quarters in the bank and y means the number of dimes in the bank.

3.
Equation 1 ==> 8x + 3y = $20.50
Equation 2 ==> 4x + 5y = $22.50

2(4x + 5y) = 2(22.50)
Equation 3 = 8x + 10y = $45.00
Equation 3 - 1
(8x - 8x) + (10y - 3y) = 45.00 - 20.50
7y = $24.50
y = $3.50
Substitude y into equation 1
8x + 3(3.50) = 20.50
8x + 10.50 = 20.50
x = $1.25

x means the cost of music and y means the cost of games.

4.
Equation 1 ==> 10x + 7y = $166.83
Equation 2 ==> 5x + 9y = $143.86

2(5x + 9y) = 2(143.86)
Equation 3 ==> 10x + 18y = $287.72
Equation 1 - 3
(10x - 10x) + (7y - 18y) = 166.83 - 287.72
-11y = -120.89
y ≈ $10.99
Substitude y into equation 1
10x + 7(10.99) = $166.83
10x + 76.93 = $166.83
x = $8.99

x means the cost of salmon per pound and y means the cost of shimp per pound.

All questions are solved using elimination method.