Answer:
Randi made 64 balloons.
Her sister made 32 balloons.
Step-by-step explanation:
State your variables
let "r" be the number of balloons made by Randi
let "g" be the number of balloons made by her sister
Write equations using information from the problem
The total number of balloon animals is the money they made divided by the price each item was sold at.
Total balloons = $48 / $0.50 = 96
r + g = 96 The total number of balloon animals made
r = 2g "Randi made twice as many balloon animals as her sister"
Substitute the first equation into the second equation because they have a common variable "r".
r + g = 96
2g + g = 96 Combine like terms
3g = 96 Isolate "g" to solve
3g/3 = 96/3 Divide both sides by 3
g = 32 Number of balloons her sister made
Find the number of balloons Randi made by substituting the value of "g", 32, into any equation.
r = 2g Second equation
r = 2(32) Multiply
r = 64 Number of balloons Randi made
Therefore Randi made 64 balloons and her sister made 32 balloons.
