Two machines at a factory are filling cans of soup. One machine has already filled 180 cans of soup, and fills cans at a rate of 15 per minute. The second machine has already filled 210 cans of soup, and fills cans at a rate of 12 per minute. Write an equation to show when the two machines will have filled the same number of cans of soup. Use x as your variable.(1 point) Responses 12x+210=15x+180 12 x plus 210 equals 15 x plus 180 12x−210=15x−180 12 x minus 210 equals 15 x minus 180 12x+180=15x+210 12 x plus 180 equals 15 x plus 210 210−12x=180−15x
12x + 180 = 15x + 210
Movie Theatre A has a popcorn machine with a 100-gallon capacity, and sells 3 gallons of popcorn per hour. Movie Theatre B has a popcorn machine with a 150-gallon capacity, and sells 5 gallons of popcorn per hour. Write an equation to show when the two popcorn machines will have the same amount of popcorn left. Use x as your variable.(1 point) Responses
100 - 3x = 150 - 5x
An ice cream shop makes vanilla and chocolate ice cream. The vanilla ice cream machine has a 180-cup capacity, and it sells 20 cups per day. The chocolate ice cream machine has a 140-cup capacity, and it sells 16 cups per day. Write and solve an equation to show when the two machines will have the same amount of ice cream left.(1 point)
180 - 20x = 140 - 16x
180 - 20x = 140 - 16x
4x = 40
x = 10
After 10 days, both machines will have the same amount of ice cream left.
Two machines at a factory are filling cans of soup. One machine has filled 92 cans of soup. It fills cans at a rate of 16 cans per minute. The second machine has filled 104 cans of soup. It fills cans at a rate of 13 cans per minute. Write and solve an equation to show when the two machines will have filled the same number of cans of soup.(1 point)
Let x be the number of minutes it takes for the two machines to fill the same number of cans of soup.
For Machine 1: 16x + 92
For Machine 2: 13x + 104
Setting the two expressions equal to each other, we get:
16x + 92 = 13x + 104
3x = 12
x = 4
After 4 minutes, the two machines will have filled the same number of cans of soup.
think again
Let x be the number of minutes it takes for the two machines to fill the same number of cans of soup.
At x minutes, Machine 1 will have filled 16x + 92 cans of soup.
At x minutes, Machine 2 will have filled 13x + 104 cans of soup.
Equating these two expressions and solving for x:
16x + 92 = 13x + 104
16x - 13x = 104 - 92
3x = 12
x = 4
After 4 minutes, the two machines will have filled the same number of cans of soup.