Jessica has 9 more nickels than dimes, and the total value of her coins is 1.50. How many nickels does she have. Write the best equation.
d = n-9
5 n + 10 d = 150 cents
5 n + 10(n-9) = 150
15 n -90 = 150
15 n = 240
n = 16
To write the best equation to solve this problem, we need to define some variables.
Let's say:
N = the number of nickels
D = the number of dimes
According to the problem, Jessica has 9 more nickels than dimes. This can be expressed as:
N = D + 9
We also know that the total value of her coins is $1.50. The value of a nickel is $0.05, and the value of a dime is $0.10. So, we can write the equation for the total value of her coins as:
0.05N + 0.10D = 1.50
Therefore, the best equation to represent the problem is:
N = D + 9
0.05N + 0.10D = 1.50