Shop A and Shop B are fruit stalls. 25 of Shop A's papayas is equivalent to 19 of Shop B's papayas. Find the ratio of Shop A to Shop B's papayas.

1. Break Down the Problem

We need to establish the ratio of the number of papayas in Shop A to the number of papayas in Shop B. We're given that:

• 25 papayas from Shop A = 19 papayas from Shop B

2. Relevant Concepts

A ratio compares two quantities and can be expressed as a fraction. If $A$ represents the number of papayas in Shop A and $B$ represents the number of papayas in Shop B, we want to find the ratio $\frac{A}{B}$.

3. Analysis and Detail

From the problem statement, we can express the relationship mathematically: $25A = 19B$

To find the ratio $\frac{A}{B}$, we start by isolating $\frac{A}{B}$: $\frac{A}{B} = \frac{19}{25}$

4. Verify and Summarize

To ensure the ratio is correct, we can rewrite it:

• This means for every 19 papayas in Shop B, there are 25 in Shop A.

Final Answer

The ratio of Shop A's papayas to Shop B's papayas is $\frac{25}{19}$ or simply 25:19.