4. Students were asked to formulate the system of equations needed to solve the following problem: One serving of Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates. A typical slice of white bread provides 2 grams of protein and 11 grams of carbohydrates. George is planning a meal of beans on toast and wishes to have it supply 30 grams of protein and 139 grams of carbohydrates, respectively. Determine the amount of beans and the amount of bread George should include in his meal. Several students wrote the following and it was marked incorrect: Let x = amount of protein y = amount of carbohydrates 5x+21y=30 2x+11y = 139 Cross out the mistakes and make corrections. You do not need to solve the system of equations.
4. Students were asked to formulate the system of equations needed to solve the following problem: One serving of Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates. A typical slice of white bread provides 2 grams of protein and 11 grams of carbohydrates. George is planning a meal of beans on toast and wishes to have it supply 30 grams of protein and 139 grams of carbohydrates, respectively. Determine the amount of beans and the amount of bread George should include in his meal. Several students wrote the following and it was marked incorrect: Let x = amount of protein y = amount of carbohydrates 5x+21y=30 2x+11y = 139 Cross out the mistakes and make corrections. You do not need to solve the system of equations.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 42E
Related questions
Question
![**Problem 4: Formulating a System of Equations**
**Problem Description:**
One serving of Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates. A typical slice of white bread provides 2 grams of protein and 11 grams of carbohydrates. George is planning a meal of beans on toast and wishes to have it supply 30 grams of protein and 139 grams of carbohydrates, respectively. Determine the amount of beans and the amount of bread George should include in his meal.
**Incorrect Attempt by Students:**
Several students wrote the following and it was marked incorrect:
Let
\( x = \text{amount of protein} \)
\( y = \text{amount of carbohydrates} \)
\[
\begin{align*}
5x + 21y &= 30 \\
2x + 11y &= 139
\end{align*}
\]
**Instructions:**
Cross out the mistakes and make corrections. You do not need to solve the system of equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a40285-65eb-4b1b-a37e-7e1e7d8c6f08%2Fe3524f36-d0d0-4e07-be05-883b54845f6f%2Fgtb6hyo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 4: Formulating a System of Equations**
**Problem Description:**
One serving of Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates. A typical slice of white bread provides 2 grams of protein and 11 grams of carbohydrates. George is planning a meal of beans on toast and wishes to have it supply 30 grams of protein and 139 grams of carbohydrates, respectively. Determine the amount of beans and the amount of bread George should include in his meal.
**Incorrect Attempt by Students:**
Several students wrote the following and it was marked incorrect:
Let
\( x = \text{amount of protein} \)
\( y = \text{amount of carbohydrates} \)
\[
\begin{align*}
5x + 21y &= 30 \\
2x + 11y &= 139
\end{align*}
\]
**Instructions:**
Cross out the mistakes and make corrections. You do not need to solve the system of equations.
Expert Solution
Step 1: Define the problem
Let x = amount of beans
Let y= amount of bread
Step by step
Solved in 4 steps with 10 images
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