Question 1209514
Here's how to solve this:

1. **Express the ratios as fractions:**

* Chickens : (Ducks + Goats) = 3 : 2  or  C / (D + G) = 3/2
* Goats : (Ducks + Chickens) = 1 : 5 or G / (D + C) = 1/5

2. **Express Ducks + Goats and Ducks + Chickens in terms of C and G:**

* From the first ratio: D + G = (2/3)C
* From the second ratio: D + C = 5G

3. **We also know the total number of animals:**

* C + D + G = 220

4. **Solve for C and G:**

Substitute D + G = (2/3)C into the total animals equation:
C + (2/3)C = 220
(5/3)C = 220
C = (3/5) * 220
C = 132

Now substitute C = 132 into D + G = (2/3)C:
D + G = (2/3) * 132
D + G = 88

Substitute C = 132 into D + C = 5G:
D + 132 = 5G
D = 5G - 132

Now substitute D = 5G - 132 into D + G = 88:
(5G - 132) + G = 88
6G = 220
G = 220/6 = 110/3 ≈ 36.67

Since we're dealing with whole animals, we can't have fractions of animals. However, we can use the ratios to determine the correct whole numbers.

Substitute C=132 in D+C=5G

D + 132 = 5G

D = 5G - 132

Substitute D = 5G-132 and C=132 in C+D+G = 220

132 + (5G-132) + G = 220

6G = 220

G = 220/6 = 110/3 = 36.666... ≈ 37

D = 5G - 132 = 5(110/3) - 132 = 550/3 - 396/3 = 154/3 = 51.333... ≈ 51

Let's check: 132 + 51 + 37 = 220

5. **Ratio of Chickens to Ducks to Goats:**

C : D : G = 132 : 51 : 37

6. **Amount from selling all goats:**

Amount = Number of goats * Price per goat
Amount = 37 * $98
Amount = $3626

Therefore, the ratio of chickens to ducks to goats is 132 : 51 : 37, and the amount from selling all goats is $3626.