The farmer has a total of 102 animals. One day he counts the legs of all his animals and realizes he has a total of 298 legs. How many chicken does the farmer have?

The number of pigs the farmer has is 47

Step-by-step explanation:

Assume that the number of pigs is x and the number of chickens is y

∵ The farmer has 102 animals

∵ The number of pigs is x

∵ The number of chickens is y

→ Add them and equate the sum by 102

∴ x + y = 102 ⇒ (1)

∵ Each pig has 4 legs

∴ The number of legs of all pigs is 4x

∵ Each chicken has 2 legs

∴ The number of legs of all chickens is 2y

∵ He has a total of 298 legs

→ Add 4x and 2y, then equate the sum by 298

∴ 4x + 2y = 298 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by -2 to make the coefficients of y equal in values

   and opposite in signs

∵ -2(x) + -2(y) = -2(102)

∴ -2x - 2y = -204 ⇒ (3)

→ Add equations (2) and (3)

∵ (4x + -2x) + (2y + -2y) = (298 + -204)

∴ 2x + 0 = 94

∴ 2x = 94

→ Divide both sides by 2 to find x

∴ x = 47

∴ The number of pigs the farmer has is 47

The number of pigs the farmer has is 47

Step-by-step explanation:

Assume that the number of pigs is x and the number of chickens is y

∵ The farmer has 102 animals

∵ The number of pigs is x

∵ The number of chickens is y

→ Add them and equate the sum by 102

∴ x + y = 102 ⇒ (1)

∵ Each pig has 4 legs

∴ The number of legs of all pigs is 4x

∵ Each chicken has 2 legs

∴ The number of legs of all chickens is 2y

∵ He has a total of 298 legs

→ Add 4x and 2y, then equate the sum by 298

∴ 4x + 2y = 298 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by -2 to make the coefficients of y equal in values

   and opposite in signs

∵ -2(x) + -2(y) = -2(102)

∴ -2x - 2y = -204 ⇒ (3)

→ Add equations (2) and (3)

∵ (4x + -2x) + (2y + -2y) = (298 + -204)

∴ 2x + 0 = 94

∴ 2x = 94

→ Divide both sides by 2 to find x

∴ x = 47

∴ The number of pigs the farmer has is 47

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The answer is in the image 

The answer is in the image 

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km