Question
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.
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
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
Answers
GPT-4o mini
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**
\[
0.655d = 24.5
\]
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**