Djamel, Miguel, And Jade Share $£105$ In The Ratio $1:6:8$. Find How Much Money Each Of Them Will Receive.- Djamel: $£ \, \square$- Miguel: $£ \, \square$- Jade: $£ \, \square$
Understanding the Problem
In this problem, we are given that Djamel, Miguel, and Jade share £105 in the ratio 1:6:8. This means that the total amount of money is divided into three parts, with Djamel receiving 1 part, Miguel receiving 6 parts, and Jade receiving 8 parts. Our goal is to find out how much money each of them will receive.
Breaking Down the Ratio
To solve this problem, we need to break down the ratio into its individual parts. Let's assume that the total amount of money is £105, and we want to find the value of each part. We can start by adding up the parts of the ratio: 1 + 6 + 8 = 15. This means that the total amount of money is divided into 15 parts.
Calculating the Value of Each Part
Now that we know the total number of parts, we can calculate the value of each part. To do this, we need to divide the total amount of money (£105) by the total number of parts (15). This will give us the value of each part.
# Calculate the value of each part
total_money = 105
total_parts = 15
value_per_part = total_money / total_parts
print(value_per_part)
Finding the Amount of Money Each Person Will Receive
Now that we know the value of each part, we can find the amount of money each person will receive. We can do this by multiplying the value of each part by the number of parts each person receives.
- Djamel receives 1 part, so he will receive 1 x £5.50 = £5.50.
- Miguel receives 6 parts, so he will receive 6 x £5.50 = £33.00.
- Jade receives 8 parts, so she will receive 8 x £5.50 = £44.00.
Conclusion
In this problem, we were given that Djamel, Miguel, and Jade share £105 in the ratio 1:6:8. We broke down the ratio into its individual parts, calculated the value of each part, and found the amount of money each person will receive. Djamel will receive £5.50, Miguel will receive £33.00, and Jade will receive £44.00.
Final Answer
- Djamel: £5.50
- Miguel: £33.00
- Jade: £44.00
Distributing £105 Among Friends in a 1:6:8 Ratio: Q&A =====================================================
Q: What is the ratio of the money shared among Djamel, Miguel, and Jade? A: The ratio of the money shared among Djamel, Miguel, and Jade is 1:6:8.
Q: How much money is being shared among the three friends? A: The total amount of money being shared among the three friends is £105.
Q: How do we calculate the value of each part of the ratio? A: To calculate the value of each part of the ratio, we need to divide the total amount of money (£105) by the total number of parts (15).
Q: What is the value of each part of the ratio? A: The value of each part of the ratio is £5.50.
Q: How much money will Djamel receive? A: Djamel will receive 1 part of the ratio, which is equal to £5.50.
Q: How much money will Miguel receive? A: Miguel will receive 6 parts of the ratio, which is equal to 6 x £5.50 = £33.00.
Q: How much money will Jade receive? A: Jade will receive 8 parts of the ratio, which is equal to 8 x £5.50 = £44.00.
Q: What if the ratio was different, say 2:3:4? How would we calculate the amount of money each person would receive? A: If the ratio was 2:3:4, we would first add up the parts of the ratio: 2 + 3 + 4 = 9. Then, we would divide the total amount of money (£105) by the total number of parts (9) to find the value of each part. Finally, we would multiply the value of each part by the number of parts each person receives.
Q: Can we use this method to distribute any amount of money among any number of people? A: Yes, we can use this method to distribute any amount of money among any number of people, provided we know the ratio in which the money is being shared.
Q: What if we want to distribute the money among more than three people? How would we do it? A: If we want to distribute the money among more than three people, we would simply add up the parts of the ratio and divide the total amount of money by the total number of parts. Then, we would multiply the value of each part by the number of parts each person receives.
Q: Can we use this method to distribute money among people with different ratios? A: Yes, we can use this method to distribute money among people with different ratios. We would simply add up the parts of each ratio and divide the total amount of money by the total number of parts. Then, we would multiply the value of each part by the number of parts each person receives.
Conclusion
In this Q&A article, we have discussed how to distribute £105 among friends in a 1:6:8 ratio. We have also answered questions about how to calculate the value of each part of the ratio, how to find the amount of money each person will receive, and how to distribute money among people with different ratios.