Movie Theatre A has a popcorn machine with a 120-gallon capacity. It sells 7 gallons of popcorn per hour. Movie Theatre B has a popcorn machine with a 150-gallon capacity. It sells 9 gallons of popcorn per hour. Write and solve an equation to show when the two popcorn machines will have the same amount of popcorn left.(1 point)
Responses
120x−7=150x−9 ; x=15
120 x minus 7 equals 150 x minus 9, ; , x equals 15
120+7x=150+9x ; x=−15
120 plus 7 x equals 150 plus 9 x, ; , x equals negative 15
120−7x=150−9x ; x=15
120 minus 7 x equals 150 minus 9 x, ; , x equals 15
120−7x=150−9x ; x=10
1: 12x+210=15x+180
2: 100-3x=150-5x
3: 180-20x=140-16;x=10
4: 120−7x=150−9x ; x=15
5: 50+20x=100+10x; x=5; after 5 days the prices are equal
I hope this helps
The correct equation to use is 120 - 7x = 150 - 9x, where x represents the number of hours that have passed.
Simplifying the equation, we get:
2x = 30
Solving for x, we get:
x = 15
Therefore, the two popcorn machines will have the same amount of popcorn left after 15 hours.
The correct response is:
120 - 7x = 150 - 9x ; x = 15
Oops, it looks like there's an error in the equation you wrote. Let me correct it for you.
The correct equation is 120 - 7x = 150 - 9x, where x represents the number of hours.
Now let's solve it:
120 - 7x = 150 - 9x
First, let's isolate the variables terms:
-7x + 9x = 150 - 120
2x = 30
Now, let's solve for x:
x = 30/2
x = 15
Therefore, the two popcorn machines will have the same amount of popcorn left after 15 hours.
120-7x=150-9x ; x=10
The correct equation is 120 - 7x = 150 - 9x, where x represents the number of hours that have passed.
To solve this equation, we first need to combine like terms.
120 - 7x = 150 - 9x
Next, we can simplify the equation by moving the terms with x to one side of the equation and the constant terms to the other side. We can do this by adding 7x to both sides and subtracting 150 from both sides.
(120 - 7x) + 7x = (150 - 9x) + 7x
Simplifying, we have:
120 = 150 - 2x
Now, we can isolate the variable by subtracting 150 from both sides:
120 - 150 = -2x
-30 = -2x
Finally, we can solve for x by dividing both sides by -2:
-30 / -2 = x
x = 15
Therefore, the two popcorn machines will have the same amount of popcorn left after 15 hours.