Calculating Donut Sales Ratio from Table Data

The question asks us to find the ratio of the number of donuts sold by stores P and R together in October to the total number of donuts sold by stores Q and R together in the same month, October. We need to carefully read the data provided in the table for the month of October.

Understanding the Donut Sales Table

The provided table shows the number of donuts sold by three different stores (P, Q, and R) across five different months (July, August, September, October, November). To answer the question, we will focus specifically on the data for the month of October.

Finding Total Donut Sales for October

Based on the table, let's find the number of donuts sold by each store in October:

• Donuts sold by Store P in October: 125
• Donuts sold by Store Q in October: 905
• Donuts sold by Store R in October: 960

Now, we need to calculate the combined sales as required by the question:

• Total donuts sold by Stores P and R together in October: P + R in October
• Total donuts sold by Stores Q and R together in October: Q + R in October

Let's calculate these sums:

• P + R in October = 125 + 960 = 1085
• Q + R in October = 905 + 960 = 1865

Calculating the Required Ratio

The question asks for the ratio of (P + R in October) to (Q + R in October). This ratio is:

\( \text{Ratio} = (\text{P in Oct} + \text{R in Oct}) : (\text{Q in Oct} + \text{R in Oct}) \)

\( \text{Ratio} = 1085 : 1865 \)

We should simplify this ratio if possible. We can see that both numbers end in 5, so they are divisible by 5.

• \( 1085 \div 5 = 217 \)
• \( 1865 \div 5 = 373 \)

So the ratio simplifies to \( 217 : 373 \).

We should check if 217 and 373 have any common factors. 217 is \( 7 \times 31 \). Let's check if 373 is divisible by 7 or 31.

• \( 373 \div 7 \approx 53.28 \) (Not divisible by 7)
• \( 373 \div 31 \approx 12.03 \) (Not divisible by 31)

373 is a prime number. Therefore, the ratio \( 217 : 373 \) is in its simplest form.

The ratio of the number of donuts sold by stores P and R together in October to the total number of donuts sold by stores Q and R together in the same month is \( 217 : 373 \).

Revision Table: Key Calculations for Donut Sales Ratio

Additional Information on Ratios and Data Analysis

Understanding how to calculate ratios from data tables is a fundamental skill in data analysis and quantitative reasoning. A ratio compares two quantities. In this case, we compared the combined sales of two pairs of stores in a specific month.

• Ratios can be written in different forms, such as \(a:b\), \(a/b\), or "a to b".
• Simplifying a ratio means dividing both parts by their greatest common divisor (GCD) to express it in the lowest possible terms. This makes the ratio easier to understand and compare.
• Data interpretation from tables requires careful reading of rows, columns, and headers to extract the correct numbers for calculations. Always double-check the specific entities (stores) and periods (months) mentioned in the question.