There are six bags, each with the same number of gold pieces. One-third of the bags have a total of 24 gold pieces. What is the total number of pieces of gold in all six bags?
One-third of the 6 bags have a total of 24
So 2 bags have a total of 24 pieces,
then 1 bag will have 12 pieces
and
6 bags will have 6*12 or 72 pieces
thank you!
To find the total number of pieces of gold in all six bags, we first need to determine how many bags have a total of 24 gold pieces.
Let x be the number of bags that have a total of 24 gold pieces. Since one-third of the bags have 24 gold pieces, we can write the equation (1/3) * 6 = x.
Multiplying both sides of the equation by 3 gives us 6 = 3x. Dividing both sides by 3 gives us x = 2.
So, there are 2 bags with a total of 24 gold pieces. Now we need to find the number of gold pieces in each bag.
Since all bags have the same number of gold pieces, we can divide the total number of gold pieces by the number of bags. The total number of gold pieces in the 2 bags is 2 * 24 = 48.
Therefore, the total number of pieces of gold in all six bags is 6 * 48 = 288.