(2 points)

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 the number of months it will take Sonny to collect enough gems, we can set up the following equation:

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

Starting with 76 gems, Sonny collects an additional 4 gems each month. The equation is:

\[ 76 + 4x = 100 \]

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

1. Subtract 76 from both sides of the equation:

\[ 4x = 100 - 76 \]

\[ 4x = 24 \]

2. Now, 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.