SOLUTION: Jeff is a cashier at the grocery store. He has a total of $580 in bills. He has 76 bills, consisting of $5 bills and $10 bills. How many of each type does he have?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Jeff is a cashier at the grocery store. He has a total of $580 in bills. He has 76 bills, consisting of $5 bills and $10 bills. How many of each type does he have?      Log On


   

Question 347242: Jeff is a cashier at the grocery store. He has a total of $580 in bills. He has 76 bills, consisting of $5 bills and $10 bills. How many of each type does he have?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Let x be the number of $5 bill for ex:
.
The question states the following to be true:
(76-x)would be the Number of $10 bill and:
.
5%2Ax+%2B+10%2876-x%29+=+580
.
Simplify and Solve for x
5%2Ax+%2B+10%2A76-10x+=+580
5%2Ax+%2B+760+-10x+=+580
-5%2Ax%2B+760+=+580
180+=+5x
36=+x
.
36 $5s and 40 $10s
.
Check your answer:
5*36 + 10*40 = 580