A farm has cows and ducks. There are 78 feet and 27 hands. How many of each animal are there? How do you know?
Hands? Is this a trick question?
Hmmm. Surely you know ducks don't have hands, nor cows. Wondering if your teacher knows.
I will assume heads.
leg equation: 4C+2D=78
head equation: C+D=27
This assumes of course, no two headed cows are ducks.
so solve the two equations for C and D.
Hint> multiply the second equation by 2, and then subtract the second equation from the first.
Yhrhg
MUMMU
Iliketrains
What is the perimeter of your room measured in feet and inches? in meters and cm?
Square the following numbers:
8, 10, 6, 7, 9, 11
To solve this problem, we will use a system of equations. Let's assume the number of cows is represented by 'c', and the number of ducks is represented by 'd'.
1. The total number of feet can be calculated as follows:
Number of cow feet + Number of duck feet = Total number of feet
(4 * c) + (2 * d) = 78 feet
2. The total number of hands can be calculated as follows:
Number of cow hands + Number of duck hands = Total number of hands
(1 * c) + (1 * d) = 27 hands
Now, we have a system of two equations with two variables:
Equation 1: 4c + 2d = 78
Equation 2: c + d = 27
To solve these equations, we can use a method called substitution or elimination. In this case, let's solve it by substitution.
From Equation 2, we can express c in terms of d:
c = 27 - d
Substitute this expression for c in Equation 1:
4(27 - d) + 2d = 78
Simplifying this equation, we get:
108 - 4d + 2d = 78
108 - 2d = 78
-2d = 78 - 108
-2d = -30
d = -30 / -2
d = 15
Now that we have the value of d, we can substitute it back into either equation to find the value of c. Let's substitute it into Equation 2:
c + 15 = 27
c = 27 - 15
c = 12
Therefore, there are 12 cows and 15 ducks on the farm.