Assignment:

In a way similar to how we used diagrams and then used the same reasoning numerically for the Pigs and Chickens problem:

a. Use a diagram to solve:

• I have some $2 bills and some $5 bills
• I have 15 bills in all
• I have $51 in all

How many $2 bills do I have and how many $5 bills do I have?

b. Use reasoning similar to the diagram reasoning to solve:

• I have some $2 bills and some $5 bills
• I have 100 bills in all
• I have $281 in all

How many $2 bills do I have and how many $5 bills do I have?

Explain your reasoning