Write a system of equations to describe the situation below. Sparkles the Clown makes balloon animals for children at birthday parties. At Jenny's party, she made 2 balloon poodles and 2 balloon giraffes, which used a total of 12 balloons. For Roger's party, she used 27 balloons to make 4 balloon poodles and 5 balloon giraffes. How many balloons does each animal require?

Question

Aydin

Mathematics

1 September, 07:20

Write a system of equations to describe the situation below. Sparkles the Clown makes balloon animals for children at birthday parties. At Jenny's party, she made 2 balloon poodles and 2 balloon giraffes, which used a total of 12 balloons. For Roger's party, she used 27 balloons to make 4 balloon poodles and 5 balloon giraffes. How many balloons does each animal require?

+1

Answers (2)

Know the Answer?

Moriah Larsen · Answer 1

3.

Step-by-step explanation:

Let's break it down.

Sparkles used 12 balloons total to make 4 balloon animals. Divide 12 by 4, and you will get 3.

What I did for part 2 of the equation, is I multiplied 4 and 5 by 3 to ensure the variable matched my calculations. 4x3 is 12, and 5x3 is 15. add 12 and 15, and you will get 27 total balloons.

Marie Harding · Answer 2

3 balloons for each animal

Step-by-step explanation:

2p + 2g = 12 Jenny's Party

4p + 5g = 27 Roger's Party

use substitution

2g = 12 - 2p

g = 6-p

4p + 5 (6-p) = 27

4p + 30 - 5p = 27

-p + 30 = 27

- p = - 3

p = 3

plug this back into one of the equations.

use Jenny's party

6 + 2g = 12

2g = 6

g = 3