Pregunta
Gwen sells fax machines that come in Standard and Enhanced models. The Standard
model sells for
and the Enhanced model sells for
. If Gwen sold a total of 35
units and took in
, how many of the Enhanced model did she sell?
model sells for
units and took in
Ask by Tucker Rose. in the United States
Jan 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Gwen sold 20 Enhanced models.
Solución
Let’s solve the problem step by step.
Let:
-
= Number of Enhanced models sold -
= Number of Standard models sold
Prices:
- Standard model = $325
- Enhanced model = $385
Total Revenue Equation:
Simplify the equation:
Answer:
Gwen sold 20 Enhanced models.
Gwen sold 20 Enhanced models.
Respondido por UpStudy AI y revisado por un tutor profesional
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Bonus Knowledge
Let’s denote the number of Standard models sold as
and the number of Enhanced models sold as
. We can set up two equations based on the information provided:
-
The total number of units sold:
-
The total revenue from sales:
Now, we can solve this system of equations. From the first equation, we can express
in terms of
:
Now, we substitute
into the second equation:
Now, distribute
:
Combine like terms:
Next, subtract
from both sides:
Now, divide both sides by 60:
Now that we have
, we can find
:
Thus, Gwen sold 20 Enhanced models.
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