Which number sentence below matches this word problem?

Grandma's house is 15 miles away. Aunt Millie's house is 6 miles away. How much farther is Grandma's house than Aunt Millie's?

A. [tex]\(15 \times 6 = 90\)[/tex]
B. [tex]\(15 - 6 = 9\)[/tex]
C. [tex]\(15 - 9 = 6\)[/tex]
D. [tex]\(6 + 15 = 21\)[/tex]



Answer :

Let's break down the problem step by step.

We are given two pieces of information:
1. The distance to Grandma's house: 15 miles.
2. The distance to Aunt Millie's house: 6 miles.

The problem is asking how much farther Grandma’s house is than Aunt Millie’s house. To determine this, we need to find the difference between the two distances.

Here's the calculation process:
- Distance to Grandma's house: 15 miles
- Distance to Aunt Millie's house: 6 miles
- Difference in distance: [tex]\( 15 - 6 = 9 \)[/tex] miles

Now, let's match this solution with the given options:
A. [tex]\( 15 \times 6 = 90 \)[/tex]
B. [tex]\( 15 - 6 = 9 \)[/tex]
C. [tex]\( 15 - 9 = 6 \)[/tex]
D. [tex]\( 6 + 15 = 21 \)[/tex]

The number sentence that correctly matches our calculation is:
B. [tex]\( 15 - 6 = 9 \)[/tex]

Therefore, the correct answer is option B.