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A Recipe For Casserole Discussion Paper

Question






A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. Use a proportion to determine how many cups of rice will you need to make 15 servings of casserole.










Expert Answer

This solution was written by a subject matter expert. It's designed to help students like you learn core concepts. A Recipe For Casserole Discussion Paper







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Step-by-step


1st step
All steps
Answer only


Step 1/2








Step 1: Write down the given information and what we're trying to find. Given: 2 cups of rice makes 6 servings of casserole. To find: How many cups of rice are needed to make 15 servings of casserole.






Explanation:



Step 2: Write down the proportion that relates the two quantities we're interested in. 2 cups of rice / 6 servings = x cups of rice / 15 servings We use x to represent the unknown number of cups of rice needed to make 15 servings of casserole.


















Step 2/2








Step 3: Cross-multiply the proportion. To do this, we multiply both sides of the equation by the product of the denominators. In this case, the product of the denominators is 6*15 = 90. So we get: (2 cups of rice) * 15 servings = (6 servings) * x cups of rice Simplifying: 30 cups of rice = 6x cups of rice Step 4: Solve for x by dividing both sides by 6. A Recipe For Casserole Discussion Paper






Explanation:



We want to isolate x on one side of the equation, so we divide both sides by 6: (30 cups of rice) / 6 = x cups of rice Simplifying: 5 cups of rice = x Step 5: Check your answer. We can check our answer by substituting x = 5 back into the original proportion: 2 cups of rice / 6 servings = 5 cups of rice / 15 servings Simplifying: (2/6) cups of rice = (5/15) cups of rice 1/3 cups of rice = 1/3 cups of rice


















Final answer








The two sides are equal, so our answer is correct. Therefore, to make 15 servings of casserole, you will need 5 cups of rice. A Recipe For Casserole Discussion Paper

Expert Answer

A Recipe For Casserole Discussion Paper

Question

A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. Use a proportion to determine how many cups of rice will you need to make 15 servings of casserole.

Expert Answer

This solution was written by a subject matter expert. It's designed to help students like you learn core concepts. A Recipe For Casserole Discussion Paper

Step-by-step

Step 1/2
Step 1: Write down the given information and what we're trying to find. Given: 2 cups of rice makes 6 servings of casserole. To find: How many cups of rice are needed to make 15 servings of casserole.
Explanation:
Step 2: Write down the proportion that relates the two quantities we're interested in. 2 cups of rice / 6 servings = x cups of rice / 15 servings We use x to represent the unknown number of cups of rice needed to make 15 servings of casserole.
Step 2/2
Step 3: Cross-multiply the proportion. To do this, we multiply both sides of the equation by the product of the denominators. In this case, the product of the denominators is 6*15 = 90. So we get: (2 cups of rice) * 15 servings = (6 servings) * x cups of rice Simplifying: 30 cups of rice = 6x cups of rice Step 4: Solve for x by dividing both sides by 6. A Recipe For Casserole Discussion Paper
Explanation:
We want to isolate x on one side of the equation, so we divide both sides by 6: (30 cups of rice) / 6 = x cups of rice Simplifying: 5 cups of rice = x Step 5: Check your answer. We can check our answer by substituting x = 5 back into the original proportion: 2 cups of rice / 6 servings = 5 cups of rice / 15 servings Simplifying: (2/6) cups of rice = (5/15) cups of rice 1/3 cups of rice = 1/3 cups of rice
Final answer
The two sides are equal, so our answer is correct. Therefore, to make 15 servings of casserole, you will need 5 cups of rice. A Recipe For Casserole Discussion Paper

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