Question

in which story could you use the quotient 4 ÷ 1/3 to answer the question? colette is training her dog, rover, to shake hands. when rover shakes colettes hand, he earns 1/3 of a large treat. by the end of the training session, rover has earned 4 whole treats. how many times did he shake colettes hand? colette is training her dog, rover, to shake hands. when rover shakes colettes hand, he earns 1/3 of a large treat. by the end of the training session, rover has shaken colettes hand 4 times. how many treats did he earn?

Explanation:

Step1: Analyze the first - story

We know that each time Rover shakes hands, he earns $\frac{1}{3}$ of a treat. Let the number of times he shakes hands be $n$. The total number of treats he earns is the product of the number of times he shakes hands and the amount of treat per handshake, i.e., $\text{Total treats}=n\times\frac{1}{3}$. If the total treats is 4, then we can solve for $n$ by the equation $4 = n\times\frac{1}{3}$, which is equivalent to $n = 4\div\frac{1}{3}$.

Step2: Analyze the second - story

If each time Rover shakes hands he earns $\frac{1}{3}$ of a treat and he shakes hands 4 times, the total number of treats he earns is $4\times\frac{1}{3}$, not $4\div\frac{1}{3}$.

Answer:

The first story (Colette is training her dog, Rover, to shake hands. When Rover shakes Colette’s hand, he earns $\frac{1}{3}$ of a large treat. By the end of the training session, Rover has earned 4 whole treats. How many times did he shake Colette's hand?)