Question

Sonny is collecting rare gems to add to his large collection. Sonny currently has 76 gems and would like to get to 100 gems by collecting an additional 4 gems per month.

Write an equation and solve for the number of months it will take Sonny to collect 100 gems.

Equation:

Time it will take:

Answer 1

To find out how long it will take Sonny to collect enough gems, we can set up an equation based on the information provided.

Let \( m \) represent the number of months it will take for Sonny to reach 100 gems.

Sonny currently has 76 gems and collects an additional 4 gems each month. The equation representing the situation is:

\[
76 + 4m = 100
\]

Now, we can solve for \( m \):

1. Subtract 76 from both sides:

\[
4m = 100 - 76
\]
\[
4m = 24
\]

2. Divide both sides by 4:

\[
m = \frac{24}{4}
\]
\[
m = 6
\]

So the time it will take for Sonny to collect 100 gems is \( 6 \) months.

**Summary:**
- Equation: \( 76 + 4m = 100 \)
- Time it will take: \( 6 \) months.