Sid the Science Kid is running a lemonade stand on a hot summer day. He wants to know how much lemonade he needs to make to sell 50 cups. He knows that each cup of lemonade requires 1/2 cup of lemon juice and 1/2 cup of sugar. He also knows that he has 2 quarts of lemon juice and 2 quarts of sugar.

How many cups of lemonade can Sid make with the ingredients he has?

Since 1 quart is equal to 4 cups, then 2 quarts is equal to 2 x 4 = <<2*4=8>>8 cups.

Sid has 8 cups of each ingredient, so he can make a total of 8 cups x 2 = <<8*2=16>>16 cups of lemonade. Answer: \boxed{16}.

To find out how many cups of lemonade Sid can make, we need to convert the quarts of lemon juice and sugar into cups.

1 quart is equal to 4 cups.

So, 2 quarts of lemon juice is equal to 2 * 4 = 8 cups of lemon juice.
And 2 quarts of sugar is also equal to 2 * 4 = 8 cups of sugar.

Since each cup of lemonade requires 1/2 cup of lemon juice and 1/2 cup of sugar, we can make as many cups of lemonade as the smaller amount of ingredients we have.

Therefore, Sid can make a maximum of 8 cups of lemonade with the ingredients he has.

To find out how many cups of lemonade Sid can make, we need to calculate how much lemonade is made with the available ingredients.

Sid has 2 quarts of lemon juice, and each cup of lemonade requires 1/2 cup of lemon juice. Since there are 4 cups in a quart, Sid has a total of 2 * 4 = 8 cups of lemon juice.

Sid also has 2 quarts of sugar, and each cup of lemonade requires 1/2 cup of sugar. Therefore, Sid has a total of 2 * 4 = 8 cups of sugar.

Now, let's see how many cups of lemonade Sid can make with the available ingredients. Since each cup of lemonade requires 1/2 cup of lemon juice and 1/2 cup of sugar, we need to find the minimum of the lemon juice and sugar available.

The minimum available ingredient is 8 cups of lemon juice and 8 cups of sugar. Therefore, Sid can make a maximum of 8 cups of lemonade because the amount of lemon juice and sugar is limited.

So, Sid can make a maximum of 8 cups of lemonade with the available ingredients.