Jawab:

each person has B blue marbles, and Sara has the most marbles in total.

Penjelasan dengan langkah-langkah:

Let the total number of marbles in each jar be H, J, and S for Harry, John, and Sara, respectively.

From the given information, we know that:

Harry has 2/5 of his marbles as blue, so the number of blue marbles he has is (2/5)H.

John has 4/15 of his marbles as blue, so the number of blue marbles he has is (4/15)J.

Sara has 8/20 of her marbles as blue, so the number of blue marbles she has is (8/20)S = (2/5)S.

We are also given that each of them has an equal number of blue marbles. Let's call this number B. Therefore:

(2/5)H = (4/15)J = (2/5)S = B

Simplifying this equation, we get:

H = (5/2)B

J = (15/8)B

S = (5/2)B

Now we can compare the total number of marbles each person has by adding up the number of blue and non-blue marbles in each jar:

Harry has H marbles in total, of which (2/5)H are blue. So the number of non-blue marbles he has is H - (2/5)H = (3/5)H.

John has J marbles in total, of which (4/15)J are blue. So the number of non-blue marbles he has is J - (4/15)J = (11/15)J.

Sara has S marbles in total, of which (2/5)S = B are blue. So the number of non-blue marbles she has is S - B.

Since we know that each person has an equal number of blue marbles, we can write:

(2/5)H = (4/15)J = B

Multiplying both sides by 15/4, we get:

H = (15/4)(2/5)H = (3/2)B

Therefore, we have:

H = (3/2)B

J = (15/8)B

S = (5/2)B

To compare the total number of marbles, we need to find a common denominator:

H = (6/4)B

J = (15/8)B

S = (10/4)B

So we can see that Sara has the most marbles, followed by Harry, and then John. We can also verify that each of them has the same number of blue marbles by plugging in the values we found for B:

(2/5)H = (4/15)J = (2/5)S = B

(2/5)(6/4)B = (4/15)(15/8)B = (2/5)(10/4)B = B

Therefore, each person has B blue marbles, and Sara has the most marbles in total.