If 3 cats can eat 12 mice in 6 hours, how many mice can 2 cats eat in 9 hours?

Question

answer is 6 mice, . . . . no one got the answer
I can give the best answer for those who can best explain ( practical or algebraically )

I will give one more similar problem then I will give the solution algebraically,. . .
its coming up

Answer 1

Cats-----hours-----mice
3----------6----------12
2----------9---------(2/3) x (9/6) x 12 = 12
Answer is 12 mice.

Answer 2

CATS MICE HOURS
3 6 3
3 2 1
1 2/3 1
2 4/3 1
2 12 9

Answer 3

first of all, we have to make the assumption that all cats eat mice at the same rate b/c the problem is unsolvable without it.

so then if 3 cats eat 12 mice in 6 hours, 1 cat eats 4 mice in 6 hours.
if 6 hours .:. 4 mice, each mouse takes 1 1/2 hours to eat.
in 9 hours, one cat would eat 6 mice. 2 cats would eat 12.

i'm getting 12 like everyone else, what are we missing?

Answer 4

3 cats eat 12 mice in one hour. This means the three cats eat 2 mice in 1 hour. This means each cat eats 2/3 mouse in one hour. This means 2 cats eat 2/3*2 or 4/3 mice in one hour. This means 2 cats eat 4/3*9 or 12 cats in 9 hours.

Answer 5

2 cats can eat 12 mice in 9 hours.

Answer 6

3 cats can eat 12 mice in 6 hours.
3 cats can eat 2 mice in one hour.
1 cat can eat (2/3)mice in one hour.
2 cats can eat 1 and 1/3 mice in an hour.
Times 1 and 1/3 by 9 and it equals 12.

Answer 7

12

Answer 8

Let x= the time it takes one cat to eat one mouse.

3 * 6 * x = 12

solve for x

x = 2/3 hours/mouse

2 cats * 9 hours * 2/3 hours/mouse = 12 mice

Answer 9

12/6/3 = 2/3 mice/hour/cat

2/3 * 2 * 9 = 12 mice

Answer 10

27