Question

Use dimensional analysis to answer the following question: If 6 wobbles equal 4 bobbles and 2 bobbles equal 8 fribbles, then 15 wobbles equal how many fribbles?

Answer 1

Answer: 40 fribbles

Explanation:

We start by writing our given information. (I shortened variables to first letter of their word)

6w = 4b

2b = 8f

15w = ?f

Immediately we see that we need to connect the wobbles to the fribbles- so we need to make a connecting piece.

Since 6w = 4b, and 2b = 8f, we see that there is a common variable in both, the bobbles.

IF 2b = 8f, then 4b = 16f (just multiplied both variables by 2).

IF 6w = 4b, and 4b = 16f, THEN 6w = 16f

NOW, we have a direct connection that can be made.

15/6 = 2.5

Therefore, 15w = 40f

(we divided 15 by 6 to see what our multiplicator would be- and found it was 2.5. Then, we multiplied our 16 fribbles by 2.5)

I hope this helped!!!

Answer 2

15 wobbles are equal to 40 fribbles.

Explanation:

6 wobbles = 4 bobbles * (8 fribbles / 2 bobbles)

6 wobbles = 16 fribbles

15 wobbles * (16 fribbles / 6 wobbles) = 40 fribbles