There are 5 more crows than cows in a farmer's field.There is a total of 52 legs on all of the animals. How many crows and how many cows are in the field?
Let x = numer of crows.
Let y = number of cows.
Equation for number of animals: x = y + 5
Equation for number of legs: 2x + 4y = 52
Substituting the first equation into the second: 2(y + 5) + 4y = 52
Distribute: 2y + 10 + 4y = 52
Simplifying: 6y + 10 = 52
Subtracting 10 from both sides: 6y = 42
Dividing both sides by 6: y = 7 <--- number of cows
Since x = y + 5 ---> x = 7 + 5 ---> x = 12 <--- number of crows
Let x = numer of crows.
Let y = number of cows.
Equation for number of animals: x = y + 5
Equation for number of legs: 2x + 4y = 52
Substituting the first equation into the second: 2(y + 5) + 4y = 52
Distribute: 2y + 10 + 4y = 52
Simplifying: 6y + 10 = 52
Subtracting 10 from both sides: 6y = 42
Dividing both sides by 6: y = 7 <--- number of cows
Since x = y + 5 ---> x = 7 + 5 ---> x = 12 <--- number of crows