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.

Question

Equation
A) 100 + 4m = 76
B) 76 + 4m = 100
C) 76m + 4 = 100
D) 4m = 100
Time it will take
A) 4 months
B) 76 months
C) 25 months
D) 6 months

Answer 1

To find the number of months it will take Sonny to collect 100 gems, we can set up the equation based on the information given.

Sonny currently has 76 gems and plans to collect 4 more gems each month. We want to find how many months (m) it will take for his total number of gems to reach 100.

The correct equation is: B) \( 76 + 4m = 100 \)

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

1. Subtract 76 from both sides of the equation: \[ 4m = 100 - 76 \] \[ 4m = 24 \]

2. Divide both sides by 4: \[ m = \frac{24}{4} \] \[ m = 6 \]

So, the solution indicates that it will take Sonny 6 months to collect enough gems to reach 100.

The answers are:

• Equation: B) \( 76 + 4m = 100 \)
• Time it will take: D) 6 months