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potato3999
18.09.2019 •
Mathematics
a local artist working at the town fair makes caricatures and portraits. the caricatures cost $4 to make white
the portraits cost $10 to make. it takes 20 minutes to make a caricature and 30 minutes to make a portrait. the
artist can spend no more than $360 for supplies and can stay no more than 20 hours at the fair. she would like
to charge $10 for a caricature and $20 for a portrait. she is going to donate all proceeds of the weekend fair to a
local charity. how many caricatures and how many portraits should she make in order to maximize the
donation for the charity?
1. identify the variables for this problem.
2. write four inequalities that constrain the problem.
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Ответ:
The solution of the system of equations is
and
. The correct answer is c. (5, 3)
Step-by-step explanation:
- The first step to solve the system of equation is to get one of the two variables for alone on one side (
or
) in both equations. For example, let's use the equations just how they are because they both have the
for alone.
- The second step is to match the equations because
is the same for both.
Then, replace the value of
from each equation.
Pass all the terms with
to the left and the rest terms to the right with the right sign.
Simplify the expression.
- The last step is to replace the value of
in any equation to find the value of
.
As you can see, the value of
is 3 in both equations.
Thus, the solution of the system of equations is
and
. The correct answer is c. (5, 3)