Hey there! I'm happy to help!
Let's represent the total number of marbles with the variable t. We have the following information.
1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)
Now, we solve for t.
1/2t+1/6t+8=t
We combine like terms.
2/3t+8=t
We subtract t from both sides.
-1/3t+8=0
We subtract 8 from both sides.
-1/3t=-8
We divide both sides by -1/3.
t=24
Therefore, there ae 24 total marbles in the bag.
Have a wonderful day! :D
Answer:
24
Step-by-step explanation:
When approaching a problem like this, it is important to identify what you are trying to solve. In this question, they are asking us to find what the whole is after giving us information about its parts.
We can see that our whole is made up of three different parts, red, white and blue marbles. Since 1/6 of our marbles are blue, we can visualise our bag of marbles split into 6 parts. We also know that half of the marbles need to be red, which means that 3/6 of our whole is red. Now that we've identified the red and blue parts, we see that the remaining 2/6 of our whole is white. Since 8 marbles make up 2/6 of our whole, it makes sense that 4 marbles make up 1/6 of our whole. When we put all 6 parts together, we can see that our total would be 24 marbles.
