oor’s family is meeting her grandparents at a restaurant. The restaurant is 24.5 miles from Noor’s house. This is 65.5% of the distance from Noor’s house to her grandparents’ house.

Question

What is the distance between the two houses? Round your answer to the nearest tenth of a mile.

37.4 miles

90 miles

267.3 miles

16 miles

Answer 1

Let \( d \) be the distance from Noor's house to her grandparents' house. According to the problem, 65.5% of \( d \) is equal to 24.5 miles. We can set up the equation as follows:

\[ 0.655d = 24.5 \]

To find \( d \), we can divide both sides by 0.655:

\[ d = \frac{24.5}{0.655} \]

Now, calculating this gives:

\[ d \approx 37.4 \text{ miles} \]

So, the distance between Noor's house and her grandparents' house is approximately 37.4 miles. Rounded to the nearest tenth, the final answer is:

37.4 miles