Problema Solution

joan has dimes and quarters in her purse whos total valeu is $3.57. the number of quarters is two less than three times the number of dimes. which system of equations, finds the number of dimes, d, and the number of quarters, q, that joan has?

Answer provided by our tutors

1 dime = 10 cents

1 quarter = 25 cents


let


d = the number of dimes

q = the number of quarters


total value is $3.57 = 357 cents


10d + 25q = 357


the number of quarters is two less than three times the number of dimes


q = 3d - 2


the system of equation that finds the number of dimes is


10d + 25q = 357

q = 3d - 2