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You to rent a company A charges $25 per week plus a one-time fee of $52 Company b charges 37 per week plus a one time fee of $16. Ater how many weeks are the total casts the same at both companies

User Rossen
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1 Answer

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Question:

You to rent a company A charges $25 per week plus a one-time fee of $52 Company b charges 37 per week plus a one-time fee of $16. After how many weeks are the total casts the same at both companies​.

Solution:

Let's denote by w the number of weeks. Now, notice that for company A we have the following linear equation:


25w+52

and for company B, we have the following linear equation:


37w+16

then, to find after how many weeks are the total casts the same at both companies​, we must equal the two previous equations and solve for w:


25w+52\text{ = 37w+16}

this is equivalent to:


37w-25w\text{ = 52-16}

this is equivalent to:


12w\text{ = 36}

then, solving for w we get:


w\text{ = }(36)/(12)\text{ = 3}

Then. we can conclude that the correct answer is:

after 3 weeks.

User Dennis Miller
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