Question

A money box contains one rupee and two rupee coins in the ratio 5:6. If the total value of the coins in the money box is 85 rupee find the number of two rupee coins ​

Answer 1

A money box contains one rupee and two rupee coins in the ratio 5:6.

Let one rupee coin be 5M and two rupee coin be 6M.

Total number of coins in box = Rs. 85

According to question,

One rupee coin + Two rupee coin = Total coins in the money box.

• One rupee coin = 5M
• Two rupee coin = 2 × 6M = 12M

Substitute the known values in above formula

⇒ 5M + 12M = 85

⇒ 17M = 85

⇒ M = 85/17

⇒ M = 5

So,

One rupee coin = 5M

⇒ 5(5)

⇒ 25

Two rupee coin = 12M

⇒ 12(5)

⇒ 60

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Verification

One rupee coin + Two rupee coin = Total number of coins in money box

We have ..

One rupee coin = 25

Two rupee coin = 60

Total number of coins = 85

Substitute the known values in above formula

→ 25 + 60 = 85

→ 85 = 85

Answer 2

Answer:

Step-by-step explanation:

Given :-

A money box contains one rupee and two rupee coins in the ratio 5:6.

If the total value of the coins in the money box is 85 rupee.

To Find :-

Number of two rupee coins.

Solution :-

let the ratio of one rupee coin be 5x  and two rupee be 12x.

According to The Question,

⇒ 12x + 5x = 85

⇒ 17x = 85

⇒ x = 85/17

⇒ x = 5

One rupee coin = 5  × 5  = 25

Two rupee coin = 12 × 5 = 60

Hence, the number of two rupee coins is 60 coins.