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.

THIS IS MY EXAM FOUR QUESTIONS CAN SOMEBODY PLZZ HELP ME AN SHOW THE WORK FROM THE BOTTOM OF MY HEART PLZZ

Answer 1

Answer:

Answer of question 1 :

Explanation:

Let x be the legs of ducks

And y be the legs of cows

According to the question,

2x + 4y = 52...…..(i) ( as ducks ahs two legs and as cows has 4 legs)

As he has 21 animals in total so,

x + y = 21...…..(ii)

We have make the equation. We will solve them by eliminatory method or substitution method. Here, I'll go for substitution method.

From equation (ii)

x = 21 - y....…..(iii)

Putting the value of x in equation (i),

2x + 4y = 52

2( 21 - y ) + 4y = 52

42 - 2y + 4y = 52

2y = 52 - 42

y = 10/2

y = 5 ( He has 2 cows)

putting the value of y in equation (ii)

x + y = 21

x + 5 = 21

x = 21 -5

x = 16 ( He has 16 ducks)