Question

Suzanne is making two ingredient pizza crust. It calls for 1 1/2 cups of Greek yogurt and 2 2/4 cups of flour. (a) Write the ratio of cups of yogurt to cups (b) Express the ratio of cups of yogurt to of flour as a complex fraction, then cups of flour as a unit rate. simplify it. 9 ta = 24 (C) Suzanne decides to scale the recipe and uses 5 cups of flour. How many cups of yogurt should she use? Express your answers as a mixed number.?

Answer 1

The ratio of yogurt to flour for a pizza crust recipe is 6 to 11. When scaled using a unit rate of approximately 0.545 cups of yogurt per cup of flour, Suzanne would need approximately 2 3/4 cups of yogurt for 5 cups of flour.

Step-by-step explanation:

The question is about creating ratios and scaling recipes in cooking. Suzanne is making a two-ingredient pizza crust and needs to understand how to adjust the proportions of ingredients appropriately when scaling the recipe.

Part A: Ratio of Ingredients

The ratio of cups of Greek yogurt to cups of flour in Suzanne's pizza crust recipe is 1 1/2 cups of yogurt to 2 3/4 cups of flour. We can simplify the ratio by multiplying both sides by 4 to clear the fractions, resulting in a ratio of 6 to 11 when written as a whole number ratio.

Part B: Complex Fraction and Unit Rate

To express this as a complex fraction and then as a unit rate, we take the ratio of yogurt to flour, which is 6/11. To simplify, you keep the numerator and multiply the reciprocal of the denominator, resulting in approximately 0.545 cups of yogurt per cup of flour.

Part C: Scaling the Recipe

If Suzanne decides to use 5 cups of flour for her scaled recipe, we use the unit rate (about 0.545 cups of yogurt per cup of flour) and multiply by the amount of flour: 0.545 x 5 equals approximately 2.725 cups of yogurt. Written as a mixed number, this is approximately 2 3/4 cups of yogurt.