Answer:Randy made 64 balloon animals and his sister made 32 balloon animals.
Step-by-step explanation:
Let x represent the number of balloon animals that Randi made.
Let y represent the number of balloon animals that her sister made.
Randi and her sister made balloon animals and sold the for. $0.50 each at the school carnival. They made $48.00. This means that
0.5x + 0.5y = 48 - - - - - - - - - -1
Randi made twice as many balloons as her sister. This means that
x = 2y
Substituting x = 2y into equation 1, it becomes
0.5 × 2y + 0.5y = 48
y + 0.5y = 48
1.5y = 48
y = 48/1.5 = 32
x = 2y = 2 × 32
x = 64
