The weight of a ptarmigan is twice as much as the weight of three 2 and 9/10 ounce brown thrashers. What is the weight of the ptarmigan?

Answer 1

For this problem, we need to look at the data given in the word problem. The weight of 1 brown thrasher is 2 9/10 ounces.

The weight of the ptarmigan is said to be twice as much as 3 brown thrashers, so that means that we can look at this problem two different ways.

Way #1:

We establish the weight of three brown thrashers and then double it.

3 (2 9/10) = 6 27/10

We convert the improper fraction and add to our whole numbers we have from the multiplication.

27/10 = 2 7/10

2 7/10 + 6= 8 7/10

Or we could have converted the weight to an improper fraction before multiplying and then simplified it.

2 9/10 = 29/10

3* 29/10 = 87/10

87/10 = 8 7/10

Now double that weight for the ptarmigan:

2* 8 7/10 = 16 14/10

14/10 = 1 4/10 or 1 2/5

Final weight is 17 2/5 ounces.

Way #2

We know that it takes two times the weight of 3 brown thrashers to make the weight of 1 ptarmigan.

2*3 = 6

So the weight of 6 brown thrashers would equal the 1 ptarmigan.

6 * 2 9/10 = 12 54/10 ounces

54/10 = 5 4/10 or 5 2/5

12 + 5 2/5 = 17 2/5 ounces.

Hope this helps.