How many of each coin does she have?

Question

Alice has a total of 29 coins composed of only nickels, dimes and quarters. She is one more nickel than the sum of the number of the other two coins. if the total value of the coins is $3.35, how many of each type of coin does she have? Right and solve a system of equations, state your answer in a sentence.

Answer 1

d represents the number of dimes

q represents the number of quarters

d + q + 1 represents the number of nickels

d + q + (d + q + 1) = 29

2d + 2q = 28

d + q = 14

then n = 15

and q = 14 - d

15(0.5) + d(0.10) + (14 - d)(0.25) = 3.35

Can you solve for d and answer?