- 6(x + 2) + 2x - 4 = 8(x - 2) + 8 does this have a solution if do why
2 answers:
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Answer:
Jessica: 10 orders
Lamar: 18 orders
Kareem: 36 orders
Step-by-step explanation:
Let's first designate each person with a letter.
The number of orders served by Jessica can be designated as
The number of orders served by Kareem can be designated as
The number of orders served by Lamar can be designated as
We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.
We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, , being equal to Lamar's orders
minus 8.
Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, , being 2 times Lamar's orders
.
With these 2 equalities, we can substitute and
in our original equation,
with their values expressed as a subtraction or multiplication of .
will be substituted with
, and
will be substituted with
.
With substitutions:
We can simplify this by combining the L-terms:
Next, we'll add 8 to both sides.
Divide both sides by 4:
Thus, Lamar served 18 orders.
Using our expressions, we can find how many orders the others served.
Jessica:
Jessica served 10 orders.
Kareem:
Kareem served 36 orders.