(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 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)

the answer is:

in a biology class, the teacher started explaining a new lesson about the dna structure. personally, i found this lecture hard to understand. so i decided to use my critical thinking skills to be able to understand it. i analysed the different ideas, and broke them down into smaller parts to assimilate each. then i started evaluation and tried to link what i am learning with real life experiences so that i can make sure that i know how everything i am learning relates. finally, i started questioning by researching more what i learned and asking more questions that can me through my learning process. reflecting on the information meant that i should review it. all this me greatly understand what i previously found hard to understand.

hope it !