Final answer:
Randi's sister made 32 balloon animals, and Randi made twice as many, which is 64 balloon animals.
Step-by-step explanation:
Let's assume that Randi made 'x' balloon animals and her sister made 'y' balloon animals.
According to the given information, Randi made twice as many balloon animals as her sister.
So we can write the equation: x = 2y
Since the price of each balloon animal is $0.50, the total amount earned can be calculated using the equation:
0.50x + 0.50y = 48.00
Substituting the value of x from the first equation into the second equation, we get:
0.50(2y) + 0.50y = 48.00
Simplifying this equation, we get:
1.50y = 48.0
Dividing both sides of the equation by 1.50, we get:
y = 32
Therefore, Randi's sister made 32 balloon animals, and Randi made twice as many, which is 64 balloon animals.