1056 coins in a jar

Question

A jar contains three nickels for every four dimes and 6 quarters for every two nickels. Create a diagram to determine how many of each coin is in the jar if there are 1056 total coins in the jar. What is the value of the coins in the jar if a nickel equals five cents a dime equals $.10 and a quarter equals $.25

Answer 1

N/D =3/4 Q/N= 6/2 = 3

4N= 3D 3N = Q

1056 = N+D+Q

1056 = N+4N/3 + 3N = 16N/3

N = (3)(1056)/16 = 198 Nickels

D =4N/3 = 4(198)/3 = 4(66) = 264 dimes

Q = 3N = 3(198) = 594 quarters