Which of the following situations can be solved by using the equation 13r = 156? Select two that apply.

Question

A.
The new novel Patrick checked out at the library has r number of chapters. If it takes Patrick 13 minutes to read each chapter, he will have the book finished in 156 minutes.

B.
A bakery sold 13 pies on Monday. If each pie costs r dollars, the bakery made a total of $156.

C.
Susan spent a total of $156 yesterday when she bought a new shirt for $13 and a new dress for r dollars.

D.
A bus driver made 13 stops along his route this morning. If he had r number of people left on his bus at the end of his route, he picked up a total of 156 people during his route.

Answer 1

To determine which situations can be solved using the equation \( 13r = 156 \), we need to analyze each option:

A. This situation states that Patrick takes 13 minutes per chapter for \( r \) chapters to total 156 minutes. This can be represented by the equation \( 13r = 156 \). This situation applies.

B. This situation describes a bakery selling 13 pies at \( r \) dollars each, resulting in a total of $156. This can also be represented by the equation \( 13r = 156 \). This situation applies.

C. In this situation, Susan spends a total of $156, having bought a shirt for $13 and a dress costing \( r \) dollars. The equation to represent this would be \( 13 + r = 156 \), which does not match \( 13r = 156 \). This situation does not apply.

D. This situation mentions a bus driver who makes 13 stops and picks up a total of 156 people. The ending number of people left, \( r \), is not directly related to the total number of people picked up. There is no direct equation that relates to \( 13r = 156 \) in this case. This situation does not apply.

Therefore, the two situations that can be solved by using the equation \( 13r = 156 \) are A and B.

Answer 2

are you sure

Answer 3

Let’s reassess each situation carefully to confirm the conclusions about which can be solved using the equation \( 13r = 156 \).

1. Option A: Patrick checks out a novel with \( r \) chapters, taking 13 minutes per chapter. The total time is 156 minutes.

   • Equation: \( 13r = 156 \)
   • This situation correctly sets up the equation and applies. (Applies)

2. Option B: A bakery sold 13 pies for \( r \) dollars each, totaling $156.

   • Equation: \( 13r = 156 \)
   • This situation correctly sets up the equation and applies. (Applies)

3. Option C: Susan spends a total of $156 from buying a shirt for $13 and a dress for \( r \) dollars.

   • Equation: \( 13 + r = 156 \)
   • This situation does not fit the \( 13r = 156 \) equation. (Does not apply)

4. Option D: A bus driver makes 13 stops and has \( r \) number of people left, having picked up a total of 156 people.

   • This situation doesn't lead to the equation \( 13r = 156 \). In fact, the relationship in this context cannot be captured by the equation as stated.
   • The equation that might represent this scenario is context-dependent and doesn’t fit \( 13r = 156 \) directly. (Does not apply)

Based on this careful examination, the two situations that can indeed be represented by \( 13r = 156 \) are A and B. Thank you for prompting a reassessment!