Math for Kids/8th grade Ratio Strategies
I have searched the internet and can not find a site that can help. I need to explain how to work out a ratio using a strategy which can be applied to any ratio. The question asked is-If it takes 10 balls of wool to make 15 hats how many beanies will it take to make 4 hats? I can answer this question by converting the ratio into a fraction but need to learn how to do it using a different strategy. Please remember that I need to learn a strategy to work out any ratio not just the answer to this question. Thank-you for your help.
Apologies for the lateness of this reply - I have changed my email address and allexperts hasn't updated it.
You need to work out how many balls 1 hat requires - this is called the unitary method.
Think of it this way...
15 hats = 10 balls
to get 1 hat, you need to reduce 15 hats to 1 hat, so divide by 15.
What you do for 1 side, you do for the other, so divide the number of balls by 15 as well.
So 1 hat = 10/15 - 2/3rds of a ball of wool.
So, 4 hats is 4 times this - 4 x 2/3 = 8/3rds or 2 balls and 2/3 of a ball of wool.
I hope this helps