Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Sparkles the Clown makes balloon animals for children at birthday parties. At Bridget's party, she made 2 balloon poodles and 4 balloon giraffes, which used a total of 22 balloons. For Erik's party, she used 15 balloons to make 1 balloon poodle and 3 balloon giraffes. How many balloons does each animal require? Each poodle requires balloons and each giraffe requires balloons

Answer 1

To find the number of balloons required for each balloon poodle and balloon giraffe, we can set up a system of equations using the given information and solve it.

Step-by-step explanation:

Let x be the number of balloons required for each balloon poodle and y be the number of balloons required for each balloon giraffe.

From the given information, we can write the following system of equations:

2x + 4y = 22

x + 3y = 15

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From the second equation, we can express x in terms of y: x = 15 - 3y

Substituting this value of x into the first equation:

2(15 - 3y) + 4y = 22

30 - 6y + 4y = 22

-2y = -8

y = 4

Substituting the value of y back into the second equation:

x + 3(4) = 15

x + 12 = 15

x = 3

Therefore, each balloon poodle requires 3 balloons and each balloon giraffe requires 4 balloons.