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 many months it will take Sonny to collect 100 gems, we can set up the equation based on the information provided.

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

Current gems = 76
Gems collected per month = 4
Target gems = 100

The equation can be written as:

\[ 76 + 4x = 100 \]

Now, let's solve for \( x \):

1. Subtract 76 from both sides:

\[ 4x = 100 - 76 \]

\[ 4x = 24 \]

2. Divide both sides by 4:

\[ x = \frac{24}{4} \]

\[ x = 6 \]

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