Question

A restaurant bill of $3200 is paid with $500 and $1000 bills. If 16 bills were used, determine how many $1000 and $500 bills were used.​

Answer 1

Let's use variables to represent the number of $1000 and $500 bills used.

Let x be the number of $1000 bills used.

Then 16 - x is the number of $500 bills used.

The total amount paid is the sum of the values of the bills used:

$1000(x) + $500(16 - x) = $3200

Simplifying and solving for x:

$1000x + $8000 - $500x = $3200

$500x = $4800

x = 9.6

We can't have a fraction of a bill, so we'll round down to 9 $1000 bills.

Then the number of $500 bills used is:

16 - x = 16 - 9 = 7

Therefore, 9 $1000 bills and 7 $500 bills were used to pay the $3200 restaurant bill.