Steve decides to start eating more tomatoes and decides to grows his own cherry tomatoes. He eats twice as much as his girlfriend. He eats 6 per day. If a vine can produce 3 tomatoes per week how many vines does he need?

Step 1: Calculate Steve's weekly tomato consumption

First, we need to determine how many tomatoes Steve eats in a week. Since he eats 6 tomatoes per day, and there are 7 days in a week, we multiply his daily consumption by 7.

Step 2: Calculate total weekly consumption (Steve + Girlfriend)

We are told Steve eats twice as many tomatoes as his girlfriend. This means his girlfriend eats half of what Steve eats. So, she eats $6 \div 2 = 3$ tomatoes per day. To find their combined weekly consumption, we add their daily consumption and then multiply by 7.

Step 3: Calculate number of vines needed

Each vine produces 3 tomatoes per week. To find the number of vines needed, we divide the total number of tomatoes they consume in a week by the number of tomatoes a single vine produces in a week.

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