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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 :

GinnyAnswer
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.
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