he made 3 times as many swans as cranes.he made 5 times more cranes than dragons.in all, he made 25 origami figures. how many of each did he make ?

s = 3 c

c = 5 d

s + c + d = 25

3c + c + c/5 = 25

4.2 c = 25

c = 25/4.2 etc

Katty, please check your Jan 3 Posts.

Dragons = X,

Cranes = (X + 5X),
Swans = 3(X + 5X).

X + (X + 5X) + 3(X + 5X) = 25,
X + 6X + 18X = 25,
25X = 25,

X = 25/ 25 = 1 Dragon.

Cranes = 1 + 5*1 = 6.

Swans = 3(1 + 5*1) = 3*6 = 18

To solve this problem, we need to set up equations based on the given information.

Let's assume that the number of cranes he made is represented by "x."
According to the problem, he made 3 times as many swans as cranes, so the number of swans he made is 3x.
Also, it is mentioned that he made 5 times more cranes than dragons, so the number of dragons is x / 5.

The total number of origami figures is given as 25, so we can set up an equation:

x + 3x + x/5 = 25

To solve this equation, we can combine like terms:

8x + x/5 = 25

To simplify the equation, we can multiply through by the common denominator of 5:

40x + x = 125

Combining like terms again:

41x = 125

Finally, we can solve for x by dividing both sides of the equation by 41:

x = 125/41

Therefore, the number of cranes he made is approximately 3.04878 (rounded to five decimal places).

To find the number of swans, we multiply the number of cranes by 3:

3.04878 * 3 ≈ 9.14634 (rounded to five decimal places)

So, he made approximately 9.14634 swans.

To find the number of dragons, we simply use the value of x:

x ≈ 3.04878 (rounded to five decimal places)

Therefore, he made approximately 3.04878 dragons.

Please note that these values are approximate due to the decimals.