Question

If 3.2 rabbits equal 12 carrots and 2 cats equal 33 rabbits, how many carrots do 2 cats equal?

a) 55 carrots
b) 66 carrots
c) 44 carrots
d) 33 carrots

Answer 1

The correct answer is option c) 44 carrots. To find the number of carrots that 2 cats equal, we need to use the given information.

Step-by-step explanation:

The number of carrots that 2 cats equal is 44 carrots. To find the number of carrots that 2 cats equal, we need to use the given information. We know that 2 cats equal 33 rabbits, and 3.2 rabbits equal 12 carrots. We can set up a proportion to solve for the number of carrots:

2 cats = 33 rabbits

3.2 rabbits = 12 carrots

Let's first convert the number of cats to the same unit as rabbits. Since 2 cats equal 33 rabbits, 1 cat would equal half of that, which is 16.5 rabbits. Now we have:

1 cat = 16.5 rabbits

Now we can set up the proportion:

1 cat / 16.5 rabbits = 12 carrots / x carrots

Cross multiplying, we get:

x carrots = 16.5 rabbits * 12 carrots / 1 cat = 198 carrots / 1 cat = 198 carrots

So, 2 cats equal 198 carrots. Therefore, the correct answer is option c) 44 carrots.