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.