SOLUTION: Hello, I am in 6th grade and learning about proportions. My teacher asked the following question: Given a situation, how many proportions can you create from it? How many arra

Question 824440: Hello,
I am in 6th grade and learning about proportions. My teacher asked the following question: Given a situation, how many proportions can you create from it? How many arrangements are prohibited? Why?
Can you help me with this question?
Thank you!
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
If two fractions are equal, then they are said to be in proportion.
Suppose you have two boxes of red and white balls. In the first box is one red and three white, so the fraction of red balls is 1/3 (one red with a total of three balls. The other box has two red and 4 balls, so the fraction of red balls is 2/6 (two red with a total of 6 balls).
We want to see if the two fractions are in proportion
2/6 can be reduced to 1/3, so the two fractions are in proportion, but
if I add one red ball to the second box, then we see that 1/3 is not equal to 3/7.
we now see, that these fractions are in proportion
1/3, 2/6, 3/9, 4/12, 5/15 and so forth

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