It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the w
alls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.
$26 $79 $47 $75
$26 $79 $47 $75
1 answer:
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Answer:
Part 1) The system is solved using elimination
The cost per can of grape juice is and the cost per can of apple juice is
Part 2) The system is solved using substitution
The cost per can of grape juice is and the cost per can of apple juice is
Part 3) The system is solved by graphing
The graph in the attached figure
Step-by-step explanation:
Part 1) S<em>olve the system by elimination</em>
Let
x----> the cost per can of grape juice
y----> the cost per can of apple juice
we know that
-----> equation A
-----> equation B
<u><em>Solve the system by elimination</em></u>
Multiply the equation A by -6 both sides
-------> equation C
Multiply the equation B by 4 both sides
-------> equation D
Adds equation C and equation D
Substitute the value of x in the equation A
therefore
The cost per can of grape juice is
The cost per can of apple juice is
Part 2) S<em>olve the system by substitution</em>
Let
x----> the cost per can of grape juice
y----> the cost per can of apple juice
we know that
-----> equation A
-----> equation B
Substitute equation B in equation A and solve for x
Find the value of y
Substitute the value of x in the equation A
therefore
The cost per can of grape juice is
The cost per can of apple juice is
Part 3) Solve the system by graphing
we have
-----> equation A
-----> equation B
Remember that
The solution of the system of equations is equal to the intersection point both lines
The solution is the point
see the attached figure
therefore
The cost per can of grape juice is
The cost per can of apple juice is
