Multiple Choice 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

1 answer

To determine how many marbles were originally in each bag, let's analyze the situation step-by-step:

  1. Each of the 5 bags originally contains \( m \) marbles.
  2. After adding 10 marbles to each bag, each bag contains \( m + 10 \) marbles.
  3. Therefore, the total number of marbles in all 5 bags after adding the marbles is \( 5(m + 10) \).

We need to set this expression equal to the total number of marbles provided, which is 80:

\[ 5(m + 10) = 80 \]

Now, looking at the answer choices:

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

The correct equation is:

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