Jim is saving nickels, dimes and quarters to buy a baseball mitt. He has 12 more
dimes than quarters, and 8 fewer nickels than twice the number of quarters. The total
amount he has saved is $17.00. What number of each kind of coin he has

Respuesta :

Answer:

36 quarters   48 dimes  64 nickels

Step-by-step explanation:

quarter = q

dime = q+12

nickel = 2q-8

$17 = 1,700 cents

(q)25 + (q+12)10 + (2q-8)5 = 1,700

25q +10q+120  +10q-40 =1,700

45q+80 = 1,700

45q = 1620

q= 36      

 36     QUARTERS x25 =  900cents

 48 DIMES    x10      =         480 cents

  64 NICKELS x 5 =             320 cents

  TOTAL                              1,700 cents ($17)