Final answer:
Mrs. Ganzon wants to exchange her P 1000.00 bill into P²⁰ (x) and P⁵⁰ (y) bills, leading to the linear equation 20x + 50y = 1000, which represents the total value of the exchanged money.
Step-by-step explanation:
The student is asking for a linear equation that represents the situation where Mrs. Ganzon wants to exchange her P 1000.00 bill into P²⁰ and P⁵⁰ bills. If x is the number of P²⁰ bills and y is the number of P⁵⁰ bills, we can represent this situation as a linear equation in two variables.
Step 1: The total amount of money exchanged should be equal to P 1000.00, the original amount Mrs. Ganzon had. This leads to the equation 20x + 50y = 1000, where 20 represents the value of each P²⁰ bill and 50 represents the value of each P⁵⁰ bill.
By solving this equation, the student will be able to find the possible combinations of P²⁰ and P⁵⁰ bills that add up to P 1000.00.