Question

A total of 26 bills are in a cash box. Some of the bills are one-dollar bills, and the rest are five-dollar bills. The total amount of cash in the box is $50. Find the number of each type of bill in the cash box.

Answer 1

Answer:

Number of 1 $ bill = 20

Number of 5 $ bill = 6

Explanation:

 Let p represent number of one dollar bolls and q represent number of five bills.

A total of 26 bills are in a cash box.

      p + q = 26    ------------------------- Equation 1

The total amount of cash in the box is $50

      p + 5q = 50    ------------------------- Equation 2

Equation 2 - Equation 1,

        p + 5q - p -q = 50 - 26

        4q = 24

          q = 6

Substituting in equation 1.

         p + 6 = 26

         p = 20

Number of 1 $ bill = 20

Number of 5 $ bill = 6