Respuesta :
Answer:
They collected $12.73 in all.
Step-by-step explanation:
This problem can be solved by a simple system of equations.
I am going to say that x is the quantity that Travis collects, y the quantity that Jessica collects and z the quantity that Robin collects.
The problems asks how much money did they collect in all?
So [tex]T = x + y + z[/tex]
Solution
The problem states that Travis wants to collect 20% more than Jessica, so:
[tex]100%x = (100%+ 20%)y[/tex]
[tex]100%x = 120%y[/tex]
[tex]x = 1.2y[/tex]
Robin wants to collect 35% more than Travis, so:
[tex]100%z = (100%+35%)x[/tex]
[tex]100%z = 135%x[/tex]
[tex]z = 1.35x[/tex]
Travis collects $4, so [tex]x = 4[/tex]. So:
[tex]x = 1.2y[/tex]
[tex]1.2y = 4[/tex]
[tex]y = \frac{4}{1.2}[/tex]
[tex]y = 3.33[/tex]
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[tex]z = 1.35x = 1.35(4) = 5.40[/tex]
The total is:
[tex]T = x + y + z = 4 + 3.33 + 5.40 = $12.73[/tex]
They collected $12.73 in all.
