A grocery manager sells 2 bags of potatoes for each bag of carrots. He also sells 6 bags of onions for each bag of potatoes. If he sells 12 bags of onions, how many bags of carrots will he sell?

A grocery manager sells 2 bags of potatoes for each bag of carrots. He also sells 6 bags of onions for each bag of potatoes. If he sells 12 bags of onions, how many bags of carrots will he sell?

Detailed Explanation

First, figure out how many bags of potatoes would be sold if six bags of onions were sold. The ratio of onions sold to potatoes sold is 6: 1.

So, if he sells 12 bags of onions, we must divide this number by six to get the number of bags of potatoes sold: 12 ÷ 6 = 2

Then, use this number to figure out how many bags of carrots he would sell:

The problem tells us that he sells two bags of potatoes for each bag of carrots. Therefore, he would sell 1 bag of carrots if he sold 12 bags of onions.

So, if he sells 12 bags of onions, we must divide this number by six to get the number of bags of potatoes sold: 12 ÷ 6 = 2

Then, use this number to figure out how many bags of carrots he would sell:

The problem tells us that he sells two bags of potatoes for each bag of carrots. Therefore, he would sell 1 bag of carrots if he sold 12 bags of onions.