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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

User Prl
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Answer:

The correct equation in terms of s is: 4s=260

  • The number of strawberry ice cream produced per day, s=65.
  • The number of chocolate ice cream produced per day ,c=130.
  • The number of vanilla ice cream produced per day ,v=85.

Explanation:

Let the number of containers of strawberry ice cream produced per day=s

Let the number of containers of vanilla ice cream produced per day=v

Let the number of containers of chocolate ice cream produced per day=c

Total Number of Ice Cream Containers=280

  • s+v+c=280

Given:

The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:

  • c=2s

The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:

  • v=s+20

Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280

s+s+20+2s=280

4s=280-20

4s=260

Divide both sides by 4

s=65

The number of strawberry ice cream produced per day is 65.

The number of chocolate ice cream produced per day =2s=2(65)=130.

The number of vanilla ice cream produced per day =s+20=65+20=85.