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 find the equation that represents the situation described, let's break it down step by step.

  1. Each of the 5 bags originally contains \( m \) marbles. Therefore, the total number of marbles initially is \( 5m \).

  2. After adding 10 marbles to each bag, the number of marbles in each bag becomes \( m + 10 \).

  3. The total number of marbles after adding the 10 marbles to each of the 5 bags can be expressed as \( 5(m + 10) \).

  4. According to the problem, this total equals 80. Therefore, we can set up the equation:

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

This is exactly the option B provided in your question.

The correct answer is:

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