There are 40 animals at a petting zoo, all of which are goats or rabbits, and each animal is either an adult or a child. there are twice as many adult rabbits as adult goats, and three times as many child goats as adult goats. if there are an equal amount of adult rabbits as child rabbits, how many adult goats are there at the petting zoo?

Number of adult goats = 5

Step-by-step explanation:

Let the numbers of adult rabbits = R

and numbers of child rabbits = r

Let the numbers of adult goats are = G

and numbers of child goats = g

Now we will form the equations as per statements given in the question.

R + r + G + g = 40 (1)

R = 2G

g = 3G

R = r ⇒ r = 2G

Now we put these values in the equation 1.

2G + 2G + G + 3G = 40

8G = 40

G = 5

therefore there are 5 adult goats in the petting zoo.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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