Final answer:
One possible solution for the number of nickels and dimes that Priya could have is 5 nickels and 10 dimes, described by the equation 5N + 10D = 125. The point (13,6) means Priya has 13 nickels and 6 dimes, which is also a solution to this equation.
Step-by-step explanation:
To find one possibility for the number of nickels and dimes Priya has, we will let the number of nickels be represented by N and the number of dimes by D. Since one nickel is worth 5 cents and one dime is worth 10 cents, the total value of the nickels and dimes can be expressed in cents as 5N + 10D = 125. This equation describes the relationship between the number of dimes and the number of nickels in Priya's pocket.
One solution to this equation is N = 5 and D = 10 because 5(5) + 10(10) = 25 + 100 = 125 cents or $1.25. Now, let's examine the point (13,6): this point represents having 13 nickels and 6 dimes. To verify if this is a correct solution, we plug these values into our equation: 5(13) + 10(6) = 65 + 60 = 125. Since this also equals $1.25, the point (13,6) is indeed a solution to the equation.