To solve for the number of months it will take for Sonny to collect enough gems, we first need to set up an equation based on the information provided.
Sonny currently has 76 gems and wants to reach a total of 100 gems. He plans to collect an additional 4 gems per month.
Let \( x \) be the number of months it will take Sonny to reach his goal. The equation to represent this situation can be written as:
\[ 76 + 4x = 100 \]
Now, we can solve for \( x \).
- Subtract 76 from both sides of the equation:
\[ 4x = 100 - 76 \] \[ 4x = 24 \]
- Now, divide both sides by 4:
\[ x = \frac{24}{4} \] \[ x = 6 \]
Thus, the equation we derived is \( 76 + 4x = 100 \) and the time it will take Sonny to collect 100 gems is 6 months.
1 answer