A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.

A discrete diagram for three quanties labeled "mustard seeds, in teaspoons,” "chili powder, in teaspoons,” and "salt, in teaspoons.” The data are as follows: mustard seeds, 9 yellow squares. chili powder, 15 red squares. salt, 3 blue squares.

Priya makes chocolate milk by mixing 2 cups of milk and 5 tablespoons of cocoa powder. Draw a diagram that clearly represents two batches of her chocolate milk.

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.

1. Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.
2. Describe another mixture of sparkling water and grape juice that would taste different from this recipe.

At the kennel, there are 6 dogs for every 5 cats.

1. The ratio of dogs to cats is \(\underline{\hspace{0.5in}}\) to \(\underline{\hspace{0.5in}}\).

2. The ratio of cats to dogs is \(\underline{\hspace{0.5in}}\) to \(\underline{\hspace{0.5in}}\).

3. For every \(\underline{\hspace{0.5in}}\) dogs there are \(\underline{\hspace{0.5in}}\) cats.

4. The ratio of cats to dogs is \(\underline{\hspace{0.5in}}\) : \(\underline{\hspace{0.5in}}\).

Elena has 80 unit cubes. What is the volume of the largest cube she can build with them?

Fill in the blanks to make each equation true.