Farmer brown had ducks and horses one day he noticed that all of the Animals had a total of 12 heads and 32 feet how many animals were ducks and how many were horse

4 horses and 8 ducks.

Step-by-step explanation:

Let the number of ducks be d and the number of horses be h.

d + h = 12

Now ducks have 2 feet and horses have 4 so:

2d + 4h = 32

Multiply the first equation by 2

2d + 2h = 24

Subtract this equation from the second equation:

4h - 2h = 32 - 24

2h = 8

h = 4.

So there were 4 horses and 12 - 4 = 8 ducks.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x