Carol uses the same ratio table to solve the problems below. Do you agree or disagree?
8 cows/2 pigs = c cows/10 pigs
2 pigs/8 cows = 10 pigs/c cows
Your school subject is Math.
Yes, it is correct.
1 half
To solve this problem, we need to determine if Carol is using the same ratio table for both equations.
For the first equation:
8 cows / 2 pigs = c cows / 10 pigs
To solve this, we can cross-multiply:
(8 cows)(10 pigs) = (2 pigs)(c cows)
80 cows = 2pcows
Dividing both sides by 2p, we get:
80 cows / 2p = (2pcows) / 2p
40 cows / p = c cows
So, the first equation can be rewritten as:
40 cows / p = c cows
For the second equation:
2 pigs / 8 cows = 10 pigs / c cows
Similarly, we can cross-multiply:
(2 pigs)(c cows) = (8 cows)(10 pigs)
2c pigs = 80 cows
Dividing both sides by 2, we get:
2c pigs / 2 = 80 cows / 2
c pigs = 40 cows
So, the second equation can be rewritten as:
c pigs = 40 cows
Comparing the rewritten equations, we can see that both equations have the same ratio of 40 cows to p pigs. Therefore, the statement is true, and Carol is indeed using the same ratio table to solve both problems.