Nikita is making spaghetti sauce and pizzas for a party. Her spaghetti sauce calls for 1 3/4 cups of tomato paste, and her pizza recipe uses 2/3 cup of tomato paste. She will triple her spaghetti sauce recipe and make 6 pizzas. Write and evaluate an expression for how many 3/4 cup cans of tomato paste she will need in all.

To find the total number of 3/4 cup cans of tomato paste Nikita will need, we need to calculate the amount of tomato paste required for both the spaghetti sauce and the pizzas.

First, let's calculate the amount of tomato paste for the spaghetti sauce. Nikita is tripling the recipe, so we need to multiply 1 3/4 cups by 3.

1 3/4 cups * 3 = (7/4) * 3 = 21/4 cups

Next, let's calculate the amount of tomato paste for the pizzas. She is making 6 pizzas, and each pizza requires 2/3 cup of tomato paste. So we need to multiply 2/3 cups by 6.

2/3 cups * 6 = 12/3 cups = 4 cups

Now, let's add the amount of tomato paste needed for the spaghetti sauce and the pizzas together:

21/4 cups + 4 cups = (21/4) + (16/4) = 37/4 cups

To convert this into the number of 3/4 cup cans, we divide 37/4 cups by 3/4 cup:

(37/4) / (3/4) = (37/4) * (4/3) = 37/3

This means that Nikita will need a total of 37/3 or approximately 12 1/3 cans of tomato paste.

To determine how many 3/4 cup cans of tomato paste Nikita will need in total, we need to calculate the amount of tomato paste required for both the spaghetti sauce and the pizzas separately, and then add them together.

First, let's calculate the amount of tomato paste for the spaghetti sauce. Nikita is tripling the recipe, which means she needs to multiply the original amount by 3:

1 3/4 cups of tomato paste * 3 = 5 1/4 cups of tomato paste.

Now, let's calculate the amount of tomato paste for the pizzas. Nikita is making 6 pizzas, and each pizza requires 2/3 cup of tomato paste. Therefore, the total amount of tomato paste for the pizzas is:

6 pizzas * 2/3 cup of tomato paste per pizza = 12/3 cups = 4 cups of tomato paste.

To find the total amount of tomato paste needed, we add the amount for the spaghetti sauce and the pizzas together:

5 1/4 cups + 4 cups = 9 1/4 cups.

Now, let's convert 9 1/4 cups to the number of 3/4 cup cans of tomato paste. We divide the total amount by 3/4 cup to find the number of cans needed:

9 1/4 cups ÷ 3/4 cup = 37/4 ÷ 3/4 = 37/4 × 4/3 = 37/3 or 12 1/3 cans.

Therefore, Nikita will need approximately 12 1/3 cans of tomato paste in total.

I'm also trying to find out

(1 3/4) * 3) + (2/3 * 6) = ?

Divide the above answer by 3/4.