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?

1 answer

Let's start by defining the variables and the situation described in the problem.

  • Let \( m \) be the number of marbles originally in each bag.
  • The student has 5 bags of marbles, so the total number of marbles originally is \( 5m \).
  • After adding 10 marbles to each bag, each bag contains \( m + 10 \) marbles.
  • The total number of marbles in all the bags after adding the 10 marbles to each is \( 5(m + 10) \).

We know that this total equals 80 marbles:

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

This equation can be solved to determine how many marbles were originally in each bag.