Mathematics
System of equations ; Word problems

### Question Description

I’m studying and need help with a Algebra question to help me learn.

Ms. K sold 6 more than 3 times the number of CDs that she sold this week. She sold a total of 108 CDs over the 2 weeks. Write the system of equations that can be used to find l, the # of CDs she sold last week, and t, the # of CD's sold this week

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Break the question into parts:

Ms. K sold 6 more than 3 times the # of CDs that she sold this week.

So if x represents CD's then Ms. K sold 3x + 6 (3 times the amount of CD's sold plus 6 more). Set this equal to t.

and

She sold a total of 108 CDs over the two weeks....

so we want

the # of CDs she sold last week, and  the # of CD's sold this week

But we know that THIS week she sold:

t = 3x+6

So if she sold 108 CD's over 2 weeks and she sold t (3x + 6) CDs this week then last week she would have sold the total amount minus the amount she sold this week so...

l = 108-(3x+6)

So your system of equations is:

t = 3x+6

l = 108-t

Bitaseme M (351)
University of Maryland
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