Question

ryan earns $5 for each small dog he walks and $8 for each large dog he walks. today he walked 8 dogs and made a total of $49. how many small dogs did ryan walk? ryan walked small dogs. the solution is

Explanation:

Step1: Let the number of small dogs be $x$.

Let the number of large dogs be $y$.

Step2: Set up equations based on given information.

We know that $x + y=8$ (total number of dogs) and $5x + 8y=49$ (total money earned). From $x + y=8$, we can get $y = 8 - x$.

Step3: Substitute $y$ into the second - equation.

Substitute $y = 8 - x$ into $5x + 8y=49$, we have $5x+8(8 - x)=49$.
Expand: $5x + 64-8x=49$.
Combine like - terms: $- 3x=49 - 64=-15$.

Step4: Solve for $x$.

Divide both sides by $-3$: $x=\frac{-15}{-3}=5$.

Answer:

5