The price of a senior citizen ticket is $8 and the price of a student ticket is$ 10
Step-by-step explanation:
Let the cost of one seniors citizen ticket be x and student be y
First day:
10 seniors citizen tickets and 11 student for a total of $190.
10x + 11y = 190-----------------------------(1)
Second day:
$160 on the second day by selling 5 senior citizen tickets and 12 student tickets.
5x + 12y = 160---------------------------------(2)
Multiply eq(2) by 2
10x + 24y = 320----------------------------(3)
Subtract eq(1) from (3)
10x + 24y = 320
10x + 11y = 190
-----------------------------
0x + 13 y = 130
---------------------------
13y = 130
y = 10-------------------------------(4)
Substituting (4) in (2)
5x + 12(10) = 160
5x + 120 = 160
5x = 160-120
5x = 40
x = 8
Answer:
The values of x are
Step-by-step explanation:
we have
Solve for x
Adds 42 both sides
Divide by 6 both sides
simplify
square root both sides
therefore
The values of x are
Answer
You can multiply the first equation by 4 and the second equation by 3.
You can multiply the first equation by 4/3.
You can multiply the first equation by 3.
Explanation
When solving a system of equations by elimination, you want to add or subtract the equations to "get rid" of a variable.
To do that, one of the variables in both equations have to have the same coefficient.
The first answer possible gives x the coefficient of 12 for both equations. You would get 12x+4y=52 and 12x-9y=39. You could subtract those equations to get 13y=13.
The second way gives x the coefficient of 4. You would multiply the first equation by 4/3 to get 4x+4/3y=52/3. You can subtract to get one variable, and then solve from there. Although, multiplying for 4/3 is annoying, so it's not suggested.
You can also "get rid" the the y. Multiply the first equation by 3 to get 9x+3y=39. You can add these equations. When you add 9x+3y=39 and 4x-3y=13 you get 13x=52.
Answer:
B) (4,5)
Step-by-step explanation:
Hope this helps.. (again)
The answer is 104.
1/4 of 104 is 26, 104 - 26 = 78
78 - 7 = $71
