Kelly likes red marbles. Each of her 12 bags of marbles has 2/7 red marbles. How many separate bags of red marbles can she make?
How to I work out this problem?
Im not sure how to set it up, thanks!
How many marbles in each bag?
kelly likes red marbles each of her 12 bags of marbles has 2/7 red marbles how many separate bags of red marbles can she make
To solve the problem, we first need to find out how many red marbles are in each bag.
Given that each bag has 2/7 red marbles, we can find how many red marbles are in each bag by multiplying 2/7 by the total number of marbles in each bag.
Let's say each bag has x marbles. Then the number of red marbles in each bag would be:
(2/7) x
Now, to find out how many separate bags of red marbles Kelly can make, we need to know how many red marbles she has in total.
If each bag has x marbles and 2/7 of them are red, then the number of red marbles in each bag is (2/7) x.
So the total number of red marbles in all 12 bags is:
(2/7) x 12x = 24x/7
Now we just need to figure out how many bags of red marbles Kelly can make with the total number of red marbles she has.
Let's say Kelly wants to make bags of red marbles that each have y red marbles. The number of bags she can make would be:
(24x/7)/y
We can simplify this expression by multiplying by 7/7:
(24x/7) * (7/y) = 24x/y
So Kelly can make 24x/y bags of red marbles, where x is the number of marbles in each bag and y is the number of red marbles she wants in each separate bag.
To solve this problem, we need to first determine how many red marbles are there in one bag, and then find out how many separate bags of red marbles Kelly can make.
Step 1: Find the number of red marbles in one bag
We are given that each bag has 2/7 red marbles, and since there are 12 bags in total, we can find the number of red marbles in one bag by multiplying:
(2/7) * 12 = 24/7
Step 2: Find the number of separate bags of red marbles
Now that we know there are 24/7 red marbles in one bag, we can determine the number of separate bags of red marbles by dividing the total number of red marbles (24/7) by the number of red marbles in one bag (24/7):
(24/7) รท (24/7) = 1
Therefore, Kelly can make 1 separate bag of red marbles.
So, the answer to the question is 1 separate bag of red marbles.