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Answer:
Balloon made by Randi's sister [tex]=32[/tex]
Balloon made by Randi [tex]=64[/tex]
Step-by-step explanation:
Let Randi's sister made [tex]x[/tex] balloons.
Balloons made by Randi [tex]=2\times x=2x[/tex]
total ballons [tex]=x+2x=3x[/tex]
[tex]1[/tex] cast of [tex]1[/tex] ballon [tex]=\$0.50[/tex]
Cost of [tex]x[/tex] balloons [tex]=3x\times0.50=1.5x[/tex]
Given total money made [tex]=\$48.0[/tex]
[tex]1.5x=48\\\\x=\frac{48}{1.5}\\\\x=32[/tex]
ballon made by Randi's sister [tex]=32[/tex]
Ballon made by Randi's =[tex]2\times32=64[/tex]
A linear equation is equation in which the highest power of the variable is one.To solve the problem make linear equation of the given conditions. The balloon made by the Randi is 32 and balloon made by Randi's sister is 64.
Given-
Let Randi"s sister made x balloon.
Then the balloon made by Randi is 2x.
Cost of one balloon is $0.50.
What is the linear equation
A linear equation is equation in which the highest power of the variable is one.To solve the problem make linear equation of the given conditions.
Total balloon made by Randi and her sister are,
[tex]2x+x=3x[/tex]
If one balloon is cost $0.50. Then 3x balloon will cost,
[tex]3x\times 0.50=1.5x[/tex]
Total balloon made by Randi and her sister is equal to the ratio of total cost of balloon to the cost of one balloon.Therefore,
[tex]x=\dfrac{48}{1.5}[/tex]
[tex]x=32[/tex]
Thus the Randi"s sister made 32 balloon. The balloon made by her sister is 2x. thus,
[tex]2\times32=64[/tex]
Hence the balloon made by the Randi is 32 and balloon made by Randi's sister is 64.
Learn more about the linear equation here:
https://brainly.com/question/11897796
