Question

Natasha starts with $45 in her savings account and each month she at $6 sal starts with $55 in his saving account and each month he adds $4 how many months will it take for Natasha to have more money in her savings account then selling his Natasha starting amount $45 sal $55 Natasha month 1 $51 sal $59 Natasha month 2 $57 month 2 sal $63 A 4 B 5 C 6 D 7

Answer 1

Let's track the savings for both Natasha and Sal over the months:

**Natasha:**
- Starting amount: $45
- Monthly addition: $6
- Amount after month \( n \): \( 45 + 6n \)

**Sal:**
- Starting amount: $55
- Monthly addition: $4
- Amount after month \( n \): \( 55 + 4n \)

We want to find the smallest integer \( n \) for which Natasha's savings exceeds Sal's savings:

\[
45 + 6n > 55 + 4n
\]

Subtract \( 4n \) from both sides:

\[
45 + 2n > 55
\]

Subtract 45 from both sides:

\[
2n > 10
\]

Divide by 2:

\[
n > 5
\]

The smallest integer \( n \) that satisfies this is \( n = 6 \).

Therefore, it will take **6 months** for Natasha to have more money in her savings account than Sal.

The answer is **C. 6**.