Question

(1) Farmer Ben has only ducks and cows 21 in total. He can’t remember how many of each he has. He knows

that the animals have a total of 52 legs. Assuming that each animal has all legs intact and no extra
limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer this question.


(2) On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. Abe is opposite to the first
horse. It takes 4 seconds for the fourth horse to reach Abe. How long will it take the merry-go-round to
go around once? Draw a clear diagram to answer this question. Make a Diagram and solve this problem.

(3) Charmin’s daughter has $6.00 she wants to spend on a comic books and superhero cards. Comic books
cost 75 cents each, and deluxe packages of superhero cards cost $1.50 each. List all the ways she can
spend all of her money on comic books, superhero cards , or both.

(4) In how many ways can one add only three positive even numbers and get 22? Make a systematic list
and show all the possibilities.

Can somebody plzz help me on these for questions i really need to pass this and show work

Answer 1

Answer of #1

5 Cows and 16 Ducks

Step-by-step explanation:

4x + 2(21-x) = 52

4x + 42 - 2x = 52

2x + 42 = 52

- 42 - 42

2x = 10

x = 5 Number of cows

21 - 5 = 16 ducks.

Checking: The 5 cows have 5 x 4 = 20 legs. The 16 ducks have 16 x 2 = 32 legs.

32 + 20 = 52