Question

ryan earns $5 for each small dog he walks and $8 for each large dog he walks. today he walked 9 dogs and made a total of $51. how many large dogs did ryan walk? ryan walked ______ large dogs. the solution is

Explanation:

Step1: Define variables

Let \( x = \) number of large dogs, \( y = \) number of small dogs.

Step2: Set up equations

Total dogs: \( x + y = 9 \); Total earnings: \( 8x + 5y = 51 \)

Step3: Solve for \( y \)

From first equation: \( y = 9 - x \)

Step4: Substitute into second equation

\( 8x + 5(9 - x) = 51 \)

Step5: Simplify and solve for \( x \)

\( 8x + 45 - 5x = 51 \) → \( 3x = 6 \) → \( x = 2 \)

Answer:

2