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.
To find out how much lemonade Sid needs to make, we first need to determine the total amount of lemon juice and sugar he can use.
Since there are 2 quarts of lemon juice and 1 cup is equal to 1/32 of a quart, that means Sid has 2 x 32 = <<2*32=64>>64 cups of lemon juice available.
Similarly, since there are 2 quarts of sugar and 1 cup is equal to 1/32 of a quart, Sid has 2 x 32 = <<2*32=64>>64 cups of sugar available.
Now that we know the amount of lemon juice and sugar available, we can find out how much lemonade Sid can make.
Each cup of lemonade requires 1/2 cup of lemon juice and 1/2 cup of sugar. So, in total, each cup of lemonade requires 1/2 + 1/2 = 1 cup of liquid.
Since Sid wants to sell 50 cups of lemonade, he needs to make a total of 50 cups x 1 cup/cup = <<50*1=50>>50 cups of lemonade.
To make 50 cups of lemonade, Sid needs 50 cups x (1/2 cup lemon juice + 1/2 cup sugar) = 50 cups x 1 cup = 50 cups.
To determine how much lemonade Sid needs to make to sell 50 cups, we need to calculate the total amount of lemon juice and sugar required for that many cups of lemonade.
Since each cup of lemonade requires 1/2 cup of lemon juice and 1/2 cup of sugar, we can multiply these quantities by 50 cups to find the total amount needed:
Lemon juice: 1/2 cup * 50 cups = 25 cups
Sugar: 1/2 cup * 50 cups = 25 cups
However, we also need to check if Sid has enough lemon juice and sugar in stock for this amount. Sid has 2 quarts of both lemon juice and sugar.
Since there are 4 cups in a quart, we can convert the quarts to cups:
Lemon juice: 2 quarts * 4 cups/quart = 8 cups
Sugar: 2 quarts * 4 cups/quart = 8 cups
Comparing the amounts needed to the amounts in stock, Sid has enough lemon juice and sugar to meet the requirements.
Therefore, Sid needs to make 50 cups of lemonade, using 25 cups of lemon juice and 25 cups of sugar.
To determine how much lemonade Sid needs to make, we need to calculate the total amount of lemon juice and sugar required for 50 cups of lemonade.
Since each cup of lemonade requires 1/2 cup of lemon juice, we'll multiply 1/2 cup by 50 cups:
1/2 cup * 50 cups = 25 cups of lemon juice
Similarly, since each cup of lemonade requires 1/2 cup of sugar, we'll multiply 1/2 cup by 50 cups:
1/2 cup * 50 cups = 25 cups of sugar
Now, we know that Sid has 2 quarts (or 8 cups) of lemon juice and 2 quarts (or 8 cups) of sugar. To determine if he has enough ingredients, we'll compare the amounts he has with the amounts he needs:
Sid has 8 cups of lemon juice and needs 25 cups, so he doesn't have enough.
Sid has 8 cups of sugar and needs 25 cups, so he doesn't have enough.
In order to make 50 cups of lemonade, Sid needs to ensure he has enough ingredients. He should consider getting more lemon juice and sugar before starting his lemonade stand.