YOU HAVE 200 CASH IN 5 AND 10 DOLLAR BILLS AND THE BILLS AND UP TO 25

Question

 

 

 

$200 IN $5 AND $10 BILLS THE NUMBER OF BILLS ADD UP TO 25

Answer 1

This problem will give us a system of equations.

 

one equation involving number of bills and another equation involving the value of the bills.

 

let f = number of five dollar bills

 

let t = number of ten dollar bills

 

The equation for humber of bills would be       f + t = 25

 

The equation for value of bills would be     5f + 10t = 200

 

there are many ways to solve this system.  One method might be to multiply the entire first equation by -5 and then all the 2 equations together.

 

    -5( f + t) = -5(25)     →    -5f - 5t = -125

 

copy 2nd equation     →         5f + 10t = 200

 

add the 2 equations  →                  5t = 75

 

divide both sides by 5   →                t = 15     this means there are 15 ten dollar bills

 

if the total number of bills is 25 and we subtract the 15 ten dollar bills that will tell us that there are 10 five dollar bills.

 

CHECK

 

15 ten dollar bills have a value of 150

 

10 five dollar bills have a value of  50

 

this gives a total amount of money of 200 which is the stated amount.  √