a theater has 144 seats. the theater sells tickets for $6 per adult and $4 per child
Let x be the number of adult tickets
and y be the number of child tickets
Total number of tickets sold is 144
x + y = 144 -----------> equation 1
the theater sells tickets for $6 per adult and $4 per child and earned $660
6x + 4y = 660 ----------> equation 2
Solve for x and y
x + y = 144
y = 144 - x
Now plug it in second equation
6x + 4y = 660
6x + 4(144 - x) = 660
6x + 576 -4x = 660 (combine like terms)
2x + 576 = 660 (subtract 576 from both sides)
2x = 84 (divide by 2)
x= 42
Number of adult tickets = 42
y = 144 - x
y = 144- 42= 102
Number of child tickets = 102
Check the picture below.
make sure your calculator is in Degree mode.
The answer is (6, 8).
EXPLANATION
If you are given two numbers, you can find the number exactly between them by averaging them, by adding them together and dividing by two. The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.
That is:
But since the midpoint is given, we'll work this out in a different way.
To find the x of the other endpoint or x2, we'll have first to plug-in the given x values in the midpoint and x1.
So,
Now, let's proceed to y2.
So now you have the x and y values of the other endpoint: (6,8).
2*3+3*2=12
thats all i could come up with
Answer:
133/3= 147/5 =
44 29.7
44-29.7
14 pies can be made.
133/4 147/2
33.25 73.5
73.5-33.25
40 jars of apple sauce can be made
(I rounded my decimals)
Step-by-step explanation: