Each day, a factory produces a total of 280 containers of ice cream. The flavors are vanilla, chocolate, and strawberry. Each day, the factory produces twice as much chocolate ice cream as strawberry ice cream and 20 more containers of vanilla ice cream than strawberry ice cream.
What is the correct equation, and what is the correct solution, for this situation, where s represents the number of containers of strawberry ice cream produced per day?
Select two answer choices: one for the correct equation, and one for the correct solution.
A. correct equation: 280=s+s2+s2+20
B. correct equation: 280=s+2s+s+20
C. correct solution: The factory produces 130 containers of strawberry ice cream per day.
D. correct solution: The factory produces 65 containers of strawberry ice cream per day.
E. correct equation: s=s+2s+s+20
F. correct solution: The factory produces 65 containers of strawberry ice cream per week.
G.correct solution: The factory produces 20 containers of strawberry ice cream per week.
i think for this question it is either A, B, Or C, if not then it is F, C, G
s = strawberry ice cream
c = chocolate ice cream
v = vanilla ice cream
Each day, the factory produces twice as much chocolate ice cream as strawberry ice cream means:
c = 2 s
20 more containers of vanilla ice cream than strawberry ice cream means:
v = s + 20
A factory produces 280 containers of ice cream means:
s + c + v = 280
Now:
s + 2 s + s + 20 = 280
4 s + 20 = 280
Subtract 20 to both sides
4 s = 260
s = 260 / 4
s = 65
The factory produces 65 containers of strawberry ice cream per day.
c = 2 s = 2 ∙ 65 = 130
The factory produces 130 containers of chocolate ice cream per day.
v = s + 20 = 65 + 20 = 85
The factory produces 85 containers of vanilla ice cream per day.
B is correct equation
D is correct solution
The correct equation for the situation is B: 280=s+2s+s+20.
To solve the equation, we can combine like terms:
280 = 4s + 20
Subtract 20 from both sides:
260 = 4s
Divide both sides by 4:
s = 65
Therefore, the correct solution is D: The factory produces 65 containers of strawberry ice cream per day.
To solve this problem, let's break it down step by step:
Step 1: Let's define the variables:
- s = number of containers of strawberry ice cream produced per day
Step 2: Write the equations for the given information:
- The factory produces 280 containers of ice cream per day
- The factory produces twice as much chocolate ice cream as strawberry ice cream
- The factory produces 20 more containers of vanilla ice cream than strawberry ice cream
From these statements, we can write the following equations:
Total number of containers of ice cream produced per day = s + 2s + (s + 20)
(Sum of strawberry, chocolate, and vanilla ice creams)
Since the total number of containers produced per day is 280, the equation becomes:
s + 2s + (s + 20) = 280
Simplifying:
4s + 20 = 280
4s = 260
s = 65
Therefore, the correct equation is: 280 = s + 2s + (s + 20) which corresponds to option B.
The correct solution is: The factory produces 65 containers of strawberry ice cream per day, corresponding to option D.