SOLUTION: I found a wallet that contained $5 bills and $10 bills. There were 28 bills inside, and they were worth a total of $230. How many $5 bills were in the wallet? How many $10 bills w

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I found a wallet that contained $5 bills and $10 bills. There were 28 bills inside, and they were worth a total of $230. How many $5 bills were in the wallet? How many $10 bills w      Log On


   

Question 1073457: I found a wallet that contained $5 bills and $10 bills. There were 28 bills inside, and they
were worth a total of $230. How many $5 bills were in the wallet? How many $10 bills were in
the wallet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of $5 bills
Let +b+ = number of $10 bills
---------------------------------
(1) +a+%2B+b+=+28+
(2) +5a+%2B+10b+=+230+
---------------------------
(2) +a+%2B+2b+=+46+
Subtract (1) from (2)
(2) +a+%2B+2b+=+46+
(1) +-a+-+b+=+-28+
------------------------
+b+=+18+
and
(1) +a+%2B+b+=+28+
(1) +a+%2B+18+=+28+
(1) +a+=+10+
----------------------
There are 10 $5 bills
There are 18 $10 bills
-------------------------
check:
(2) +5a+%2B+10b+=+230+
(2) +5%2A10+%2B+10%2A18+=+230+
(2) +50+%2B+180+=+230+
(2) +230+=+230+
OK