Question

Mrs. Rinaldo changed a $100 bill in a bank. She received $20 bills and $10 bills. The number of $20 bills was 2 more than the number of $10 bills. How many bills of each kind did she receive

Answer 1

Mrs. Rinaldo received 2 $10 bills and 4 $20 bills in exchange for her $100 bill by setting up and solving a simple equation based on the given conditions.

Step-by-step explanation:

Finding the Number of $20 and $10 Bills

Mrs. Rinaldo exchanged a $100 bill for $20 and $10 bills. The total number of $20 bills is 2 more than the number of $10 bills. To find out how many of each bill she received, we can set up two equations based on the information given:

Let the number of $10 bills be x, then the number of $20 bills is x + 2.

Now we can set up our equations as follows:

10x + 20(x + 2) = 100

Solving this equation gives us the number of $10 bills (x) and subsequently the number of $20 bills (x + 2).

Let's solve the equation:

1. 10x + 20(x + 2) = 100
2. 10x + 20x + 40 = 100
3. 30x + 40 = 100
4. 30x = 100 - 40
5. 30x = 60
6. x = 60 / 30
7. x = 2

Mrs. Rinaldo received 2 $10 bills and 2 + 2 = 4 $20 bills.

Therefore, Mrs. Rinaldo exchanged her $100 bill for 2 $10 bills and 4 $20 bills.