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?

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

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

the barter