SOLUTION: Jorge has 5 more than twice the number of DVDs as Ahmed. Kaitlin has the same number of DVDs as Jorge, which is equal to 3 less than three times as many as Ahmed. a. Explain ho

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Question 666462: Jorge has 5 more than twice the number of DVDs as Ahmed. Kaitlin has the same number of DVDs as
Jorge, which is equal to 3 less than three times as many as Ahmed.
a. Explain how you can write an equation to solve for the number of DVDs that Ahmed has.
b. How many DVDs does each person have? Explain how you found your answer.
Answer by ReadingBoosters(3246) (Show Source):
You can put this solution on YOUR website!
Establish variables
x = Jorge
y = Ahmed
z = Kaitlin
...
Given
x = 2y + 5
z = x
x = 3y - 3
...
a.
Ahmed, y, can be solved setting the x expression equivalent to each other
2y + 5 = 3y - 3
...
b.
Setting the two x expressions equivalent to each other
2y + 5 = 3y - 3
2y - 3y = -3 - 5
-y = -8
Divide both sides by -1
DVDs for Ahmed
...
Solving for x, Jorge
x = 2y + 5
x = 2(8) + 5 = 16 + 5
DVDs for Jorge
...
Solving for z, Kaitlin
z=x
DVDs for Kaitlin
.....................
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