Randy made 64 ballon animals and her sister made 32 ballon animals
Solution:
Let the number of ballon animals sold by Randi be "x"
Let the number of ballon animals sold by her sister be "y"
Cost of 1 ballon animal = $ 0.50
Rando made twice as many animals as her sister
Number of ballon animals sold by Randi = twice the number of ballon animals sold by her sister
x = 2y ---- eqn 1
Together, they earned $ 48
Therefore, we can frame a equation as:
Number of ballon animals sold by Randi x Cost of 1 ballon animal + number of ballon animals sold by her sister x Cost of 1 ballon animal = 48
[tex]2y \times 0.50 + y \times 0.50 = 48[/tex]
[tex]1y + 0.5y = 48\\\\1.5y = 48\\\\y = \frac{48}{1.5}\\\\y = 32[/tex]
Therefore, from eqn 1
x = 2y
x = 2(32)
x = 64
Thus Randy made 64 ballon animals and her sister made 32 ballon animals
