Question

A security company transports money from stores to banks. One day, a security guard accidentally leave one bag on the back bumber of the security truck. At some point, the bag falls off the truck and is picked up by a lucky driver. The security company knows that the bag had contained only $100 bills, $500 bills, and $1,000 bills. In total, there were 1,793 bills in the bag worth a total of $846,700. There were 67 more $500 bills than $100 bills in the bag. find how many of each bill was in the missing bag

Answer 1

To find the number of each bill in the missing bag, we can set up an equation based on the given information. Once we solve the equation, we can determine the values for each bill.

Step-by-step explanation:

Let's assume that the number of $100 bills in the bag is x. Since there are 67 more $500 bills than $100 bills, the number of $500 bills will be x + 67. And the number of $1,000 bills can be calculated by subtracting the sum of $100 and $500 bills from the total number of bills in the bag, which is 1793 - x - (x + 67) = 1793 - 2x - 67

Now, we can set up an equation to find the value of x:

x(100) + (x + 67)(500) + (1793 - 2x - 67)(1000) = 846700

Solving the equation will give us the value of x. Once we have x, we can calculate the number of $500 and $1,000 bills using the expressions x + 67 and 1793 - 2x - 67 respectively.