Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Two stores sell donuts in packages, as shown in the table below.

\begin{tabular}{|l|l|l|l|l|}
\hline
\textbf{Donut Prices at Store A} & & & & \\
\hline
\textbf{Donuts in Package} & 1 & 12 & 20 & 45 \\
\hline
\textbf{Cost} & \[tex]$0.70 & \$[/tex]8.40 & ? & \[tex]$31.50 \\
\hline
\textbf{Donut Prices at Store B} & & & & \\
\hline
\textbf{Donuts in Package} & 1 & 20 & 30 & 65 \\
\hline
\textbf{Cost} & \$[/tex]0.60 & ? & \$18.00 & \\
\hline
\end{tabular}

If the rate at each store is constant, which statement correctly compares the cost of the donuts at each store?


Sagot :

To answer the question, we need to determine the missing costs and compare the prices for a package of 20 donuts at both stores.

1. Store A: Cost for 1 Donut
- Store A sells 1 donut for [tex]$0.70. - To find the cost per donut when sold in packages, the cost per donut remains the same, i.e., $[/tex]0.70 per donut.

2. Store A: Cost for 20 Donuts
- Given the rate is constant at Store A, for 20 donuts:
- Cost of 20 donuts = 20 donuts * [tex]$0.70 per donut = $[/tex]14.00

3. Store B: Cost for 1 Donut
- Store B sells 1 donut for [tex]$0.60. - The cost per donut remains the same, i.e., $[/tex]0.60 per donut.

4. Store B: Cost for 20 Donuts
- Given the rate is constant at Store B, for 20 donuts:
- Cost of 20 donuts = 20 donuts * [tex]$0.60 per donut = $[/tex]12.00

5. Comparison of Costs for 20 Donuts at Both Stores
- Store A: 20 donuts cost [tex]$14.00. - Store B: 20 donuts cost $[/tex]12.00.

From this detailed calculation, we can conclude that Store B is cheaper for 20 donuts.

Thus, the correct statement is: Store B is cheaper for 20 donuts.