Tolu And Tomisin Were Given A Token Of 280 In The Ratio 5:7. By How Much Will Tomisin's Money Be More Than Tolu's?
Introduction
In this article, we will delve into a mathematical problem involving the distribution of a token among two individuals, Tolu and Tomisin. The problem states that they were given a token of 280 in the ratio 5:7. Our objective is to determine by how much Tomisin's money will be more than Tolu's.
Understanding the Ratio
A ratio is a way of comparing two or more numbers. In this case, the ratio of Tolu's share to Tomisin's share is 5:7. This means that for every 5 units of Tolu's share, Tomisin's share is 7 units.
Calculating the Shares
To calculate the shares, we need to find the total number of parts in the ratio, which is 5 + 7 = 12. Then, we can divide the total token of 280 by the total number of parts to find the value of each part.
total_token = 280
total_parts = 5 + 7
value_per_part = total_token / total_parts
Calculating Tolu's Share
Tolu's share is 5 parts out of the total 12 parts. To find the value of Tolu's share, we can multiply the value of each part by the number of parts Tolu has.
tolu_parts = 5
tolu_share = value_per_part * tolu_parts
Calculating Tomisin's Share
Tomisin's share is 7 parts out of the total 12 parts. To find the value of Tomisin's share, we can multiply the value of each part by the number of parts Tomisin has.
tomisin_parts = 7
tomisin_share = value_per_part * tomisin_parts
Finding the Difference
To find the difference between Tomisin's share and Tolu's share, we can subtract Tolu's share from Tomisin's share.
difference = tomisin_share - tolu_share
Conclusion
In conclusion, we have calculated the shares of Tolu and Tomisin based on the given ratio and token amount. We have also found the difference between their shares. The difference between Tomisin's share and Tolu's share is the final answer to the problem.
Code Implementation
Here is the complete code implementation in Python:
def calculate_shares():
total_token = 280
total_parts = 5 + 7
value_per_part = total_token / total_parts
tolu_parts = 5
tolu_share = value_per_part * tolu_parts
tomisin_parts = 7
tomisin_share = value_per_part * tomisin_parts
difference = tomisin_share - tolu_share
return difference
difference = calculate_shares()
print("The difference between Tomisin's share and Tolu's share is:", difference)
Final Answer
Introduction
In our previous article, we explored the problem of Tolu and Tomisin being given a token of 280 in the ratio 5:7. We calculated the shares of both individuals and found the difference between their shares. In this article, we will answer some frequently asked questions related to the problem.
Q: What is the ratio of Tolu's share to Tomisin's share?
A: The ratio of Tolu's share to Tomisin's share is 5:7.
Q: How many parts are there in the ratio?
A: There are 12 parts in the ratio, which is the sum of Tolu's 5 parts and Tomisin's 7 parts.
Q: What is the value of each part?
A: The value of each part is calculated by dividing the total token of 280 by the total number of parts, which is 12. So, the value of each part is 280 / 12 = 23.33.
Q: How much is Tolu's share?
A: Tolu's share is 5 parts out of the total 12 parts. To find the value of Tolu's share, we multiply the value of each part by the number of parts Tolu has, which is 5. So, Tolu's share is 23.33 * 5 = 116.65.
Q: How much is Tomisin's share?
A: Tomisin's share is 7 parts out of the total 12 parts. To find the value of Tomisin's share, we multiply the value of each part by the number of parts Tomisin has, which is 7. So, Tomisin's share is 23.33 * 7 = 163.31.
Q: What is the difference between Tomisin's share and Tolu's share?
A: To find the difference between Tomisin's share and Tolu's share, we subtract Tolu's share from Tomisin's share. So, the difference is 163.31 - 116.65 = 46.66.
Q: Can I use a different ratio to solve the problem?
A: Yes, you can use a different ratio to solve the problem. However, you need to make sure that the ratio is consistent and that the total number of parts is the same.
Q: Can I use a different token amount to solve the problem?
A: Yes, you can use a different token amount to solve the problem. However, you need to make sure that the ratio remains the same and that the total number of parts is the same.
Conclusion
In conclusion, we have answered some frequently asked questions related to the problem of Tolu and Tomisin being given a token of 280 in the ratio 5:7. We have also provided the calculations and code implementation to solve the problem.
Code Implementation
Here is the complete code implementation in Python:
def calculate_shares():
total_token = 280
total_parts = 5 + 7
value_per_part = total_token / total_parts
tolu_parts = 5
tolu_share = value_per_part * tolu_parts
tomisin_parts = 7
tomisin_share = value_per_part * tomisin_parts
difference = tomisin_share - tolu_share
return difference
difference = calculate_shares()
print("The difference between Tomisin's share and Tolu's share is:", difference)
Final Answer
The final answer to the problem is the difference between Tomisin's share and Tolu's share, which is calculated using the code implementation above.