Answer:
number of nickle coins = 20
number of dime coins = 11
number of quarter coins = 17
Step-by-step explanation:
Worth of coins in one dollar : 1 quarter = 25% , 1 dime = 10%, 1 nickle = 5%
Now, let number of nickle coins be x and number of quarter coins be y
Number of dimes = 55% less than number of nickle
⇒ Number of dimes = 0.55·x
Now, according to question, Total number of coins in the jar = 48
⇒ x + 0.55·x + y = 48
⇒ 1.55·x + y = 48.........(1)
Total value of coins in the jar = 5.40
⇒ 0.05·x + 0.01 × 0.55·x + 0.25·y = 5.40
⇒ 0.0555·x + 0.25·y = 5.40
⇒ 5.55·x + 25·y = 540..........(2)
On solving (1) and (2), We get
x = 19.88 ≈ 20
y = 17.19 ≈ 17
Hence, number of nickle coins = 20
number of dime coins = 11
number of quarter coins = 17
