Multiple Choice Question

Question

A student has 5 bags of marbles. Each bag originally contains m marbles. After adding 10 marbles to each bag, there are a total of 80 marbles. Which equation can be solved to determine how many marbles were originally in each bag?

A. 10 ( m + 5 ) = 80

B. 5 ( m + 10 ) = 80

C. 10m + 5 = 80

D. 5m + 10 = 80

Answer 1

To solve the problem, let's analyze the situation step by step.

1. The student has 5 bags, each containing \( m \) marbles initially.
2. After adding 10 marbles to each bag, each bag then has \( m + 10 \) marbles.
3. Since there are 5 bags, the total number of marbles after the addition is \( 5(m + 10) \).
4. This total amounts to 80 marbles.

Now, we can write this as an equation: \[ 5(m + 10) = 80 \]

Looking at the options provided:

A. \( 10(m + 5) = 80 \)
B. \( 5(m + 10) = 80 \)
C. \( 10m + 5 = 80 \)
D. \( 5m + 10 = 80 \)

The correct equation that can be solved to determine how many marbles were originally in each bag is:

B. \( 5(m + 10) = 80 \)