Question

Zachary has 30 coins. Of the coins, 1/6 are nickels, 1/6 are dimes, and the rest are

quarters. What is the ratio of Zachary's nickels to dimes to quarters?
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Answer 1

Answer:

The ratio of Zachary's nickels to dimes to quarters = 1 : 1 : 4

Step-by-step explanation:

Given:

Total number of coins = 30

Number of nickel coin = 1/6 of 30

Number of dimes coin = 1/6 of 30

Let us assume that number of quarters coin be x.

According to question:

1/6 of 30 + 1/6 of 30 + x = 30

→ 5 + 5 + x = 30

→ x = 30 - 10

→ x = 20

∴ Number of quarters coin = x = 20

The ratio of Zachary's nickels to dimes to quarters:

= Nickels coin : Dimes coin : Quarters coin

= 5 : 5 : 20 [ Dividing by 5 ]

= 1 : 1 : 4

Answer 2

Answer:

• Total Coins = 30
• Nickels = ⅙ of Coins
• Dimes = ⅙ of Coins
• Quarters = Rest of Coins

• According to the Question :

⇒ Nickels = ⅙ of Total Coins

⇒ Nickels = 1/6 × 30

⇒ Nickels = 5

⇒ Dimes = ⅙ of Total Coins

⇒ Dimes = 1/6 × 30

⇒ Dimes = 5

⇒ Quarters = Total - (Nickels + Dimes)

⇒ Quarters = 30 - (5 + 5)

⇒ Quarters = 30 - 10

⇒ Quarters = 20

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• Required Ratio :

⇢ Nickels : Dimes : Quarters = 5 : 5 : 20

• Dividing each term by 5

⇢ Nickels : Dimes : Quarters = 1 : 1 : 4

∴ Hence, required ratio is 1 : 1 : 4.