Phoebe wen to a pet shop and saw birds and puppies. There are 18 animals in all in the pet shop. If Phoebe saw 50 animal legs on all, how many puppies and how many birds are there in the pet shop?
P = 18 - B
2P + B = 50
Substitute 18-B for P in the second equation and solve for B. Insert that value into the first equation to solve for P. Check by putting both values into the second equation.
place each number in the ven diagram . then classify each number by indicating in which set or sets each number belongs
4P + 2B = 50
To solve this problem, let's break it down into two parts: the number of puppies and the number of birds.
Let's assume there are 'x' puppies in the pet shop. Since each puppy has 4 legs, the total number of legs contributed by the puppies would be 4x.
Similarly, let's assume there are 'y' birds in the pet shop. Since each bird has 2 legs, the total number of legs contributed by the birds would be 2y.
According to the problem, there are 18 animals in total, so we can write the equation:
x + y = 18 ----(Equation 1)
Also, Phoebe saw 50 animal legs in total. So we can form another equation based on the number of legs:
4x + 2y = 50 ----(Equation 2)
Now, we can solve these two equations simultaneously to find the values of 'x' and 'y'.
Multiplying Equation 1 by 2, we get:
2(x + y) = 2(18)
2x + 2y = 36 ----(Equation 3)
Subtracting Equation 3 from Equation 2, we get:
(4x + 2y) - (2x + 2y) = 50 - 36
2x = 14
x = 7
Substituting the value of 'x' in Equation 1, we get:
7 + y = 18
y = 18 - 7
y = 11
Therefore, there are 7 puppies and 11 birds in the pet shop.