Question

georgia needs to buy flea treatment for her dog. pet store 1 is offering the flea treatment for 40 percent off their regular price of $33 plus an additional 25 percent off the sale price. pet store 2 is offering the same flea treatment for 55 percent off their regular price of $34 plus an additional 5 percent off the sales price. which location is offering the better price and how much cheaper is it?

• the flea treatment is $0.31 cheaper at pet store 2.
• the flea treatment is $1.05 cheaper at pet store 2.
• the flea treatment is $2.05 cheaper at pet store 1.
• the flea treatment is $2.36 cheaper at pet store 1.

Explanation:

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<reasoning>

Calculate the final price at Pet Store 1

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Regular Price} = \$33\\ &\text{Sale Price} = 33 \times (1 - 0.40) = 33 \times 0.60 = 19.80\\ &\text{Final Price} = 19.80 \times (1 - 0.25) = 19.80 \times 0.75 = 14.85 \end{aligned}$$

\]

Calculate the final price at Pet Store 2

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Regular Price} = \$34\\ &\text{Sale Price} = 34 \times (1 - 0.55) = 34 \times 0.45 = 15.30\\ &\text{Final Price} = 15.30 \times (1 - 0.05) = 15.30 \times 0.95 = 14.535 \approx 14.54 \end{aligned}$$

\]

Compare the prices to find the difference

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Difference} = 14.85 - 14.535 = 0.315 \approx 0.31\\ &\text{Pet Store 2 is cheaper by } \$0.31 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>The flea treatment is $0.31 cheaper at Pet Store 2.</mcq-correct>
<mcq-option>The flea treatment is $1.05 cheaper at Pet Store 2.</mcq-option>
<mcq-option>The flea treatment is $2.05 cheaper at Pet Store 1.</mcq-option>
<mcq-option>The flea treatment is $2.36 cheaper at Pet Store 1.</mcq-option>
</answer>

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Answer:

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<reasoning>

Calculate the final price at Pet Store 1

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Regular Price} = \$33\\ &\text{Sale Price} = 33 \times (1 - 0.40) = 33 \times 0.60 = 19.80\\ &\text{Final Price} = 19.80 \times (1 - 0.25) = 19.80 \times 0.75 = 14.85 \end{aligned}$$

\]

Calculate the final price at Pet Store 2

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Regular Price} = \$34\\ &\text{Sale Price} = 34 \times (1 - 0.55) = 34 \times 0.45 = 15.30\\ &\text{Final Price} = 15.30 \times (1 - 0.05) = 15.30 \times 0.95 = 14.535 \approx 14.54 \end{aligned}$$

\]

Compare the prices to find the difference

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Difference} = 14.85 - 14.535 = 0.315 \approx 0.31\\ &\text{Pet Store 2 is cheaper by } \$0.31 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>The flea treatment is $0.31 cheaper at Pet Store 2.</mcq-correct>
<mcq-option>The flea treatment is $1.05 cheaper at Pet Store 2.</mcq-option>
<mcq-option>The flea treatment is $2.05 cheaper at Pet Store 1.</mcq-option>
<mcq-option>The flea treatment is $2.36 cheaper at Pet Store 1.</mcq-option>
</answer>

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