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This flower is made up of yellow hexagons, red trapezoids, and green triangles.
Here are diagrams representing three mixtures of powdered drink mix and water:
Use the diagrams to complete each statement:
Mixture B uses cups of water and teaspoons of drink mix.
The ratio of cups of water to teaspoons of drink mix in Mixture B is .
Mixture C uses cups of water and teaspoons of drink mix.
The ratio of cups of water to teaspoons of drink mix in Mixture C is .
A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.
Draw a diagram that shows the amount of flour and vanilla needed for two batches of cookies.
Whether the ratio of cups of flour to teaspoons of vanilla is , , or , the recipes would make cookies that taste the same. We say that these ratios are equivalent.
Find another ratio of cups of flour to teaspoons of vanilla that is equivalent to these ratios.
How many batches can you make using this new ratio of ingredients?
A recipe for fizzy juice says, “Mix 5 cups of cranberry juice with 2 cups of soda water.”
To double this recipe, we would use 10 cups of cranberry juice with 4 cups of soda water. To triple this recipe, we would use 15 cups of cranberry juice with 6 cups of soda water.
This diagram shows a single batch of the recipe, a double batch, and a triple batch:
We say that the ratios , , and are equivalent. Even though the amounts of each ingredient within a single, double, or triple batch are not the same, they would make fizzy juice that tastes the same.