I am a coin. If you take 30 coins like me, you can make more than Rs. 5. If you take 20 coins like me, you will make less than Rs. 5. What is my value?
Question
I am a coin. If you take 30 coins like me, you can make more than Rs. 5. If you take 20 coins like me, you will make less than Rs. 5. What is my value?
Solution
The problem can be solved by setting up two inequalities based on the information given:
- The value of 30 coins is more than Rs. 5.
- The value of 20 coins is less than Rs. 5.
Let's denote the value of the coin as x. Then we can write the inequalities as follows:
- 30x > 5
- 20x < 5
Now, we can solve these inequalities:
- Divide both sides of the first inequality by 30: x > 5/30 = 0.1667
- Divide both sides of the second inequality by 20: x < 5/20 = 0.25
So, the value of the coin is more than Rs. 0.1667 and less than Rs. 0.25. The only coin that satisfies this condition is the Rs. 0.2 coin. Therefore, the value of the coin is Rs. 0.2.
Similar Questions
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there are Rs.30 in all, how many 5 p coins are there ?
I have 45 coins in my pocket. They are all either nickels or quarters. Thevalue of the coins is $5.65. How many of each coin do I have?
A lady has only 25-paisa and 50-paisa coins in her purse. If she has 50 coins in all total and the amount she has is Rs.19.50, how many coins of each kind does she have?
A boy has a few coins of denominations 10 paise, 20 paise and 25 paise in the ratio 10 : 15 : 6. Then, the possible value of the denomination=?
A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.