Decrease R1,400 In The Ratio 2:3:7, Calculate How Much Each Girl Will Get
Understanding the Problem
When dealing with ratios, we often need to find the value of each part or the total amount. In this case, we have a ratio of 2:3:7 and a total amount of R1,400. Our goal is to calculate how much each girl will receive.
Breaking Down the Ratio
To start, let's break down the ratio into its individual parts. We have three parts: 2, 3, and 7. These parts represent the number of girls in each group.
Calculating the Total Number of Parts
To find the total number of parts, we add the individual parts together: 2 + 3 + 7 = 12. This means that the total amount of R1,400 is divided into 12 equal parts.
Finding the Value of Each Part
To find the value of each part, we divide the total amount by the total number of parts: R1,400 ÷ 12 = R116.67. This is the value of each part.
Calculating the Amount Each Girl Will Receive
Now that we know the value of each part, we can calculate the amount each girl will receive. We have three groups of girls, and each group has a different number of girls. Group 1 has 2 girls, Group 2 has 3 girls, and Group 7 has 7 girls.
Group 1: 2 Girls
To find the amount each girl in Group 1 will receive, we multiply the value of each part by the number of girls in the group: R116.67 × 2 = R233.34.
Group 2: 3 Girls
To find the amount each girl in Group 2 will receive, we multiply the value of each part by the number of girls in the group: R116.67 × 3 = R350.01.
Group 7: 7 Girls
To find the amount each girl in Group 7 will receive, we multiply the value of each part by the number of girls in the group: R116.67 × 7 = R816.69.
Conclusion
In conclusion, we have successfully calculated the amount each girl will receive when R1,400 is divided in the ratio 2:3:7. Group 1 will receive R233.34 each, Group 2 will receive R350.01 each, and Group 7 will receive R816.69 each.
Frequently Asked Questions
- Q: What is the total amount of money? A: The total amount of money is R1,400.
- Q: What is the ratio of the money? A: The ratio of the money is 2:3:7.
- Q: How many girls are in each group? A: Group 1 has 2 girls, Group 2 has 3 girls, and Group 7 has 7 girls.
- Q: What is the value of each part? A: The value of each part is R116.67.
- Q: How much will each girl in Group 1 receive? A: Each girl in Group 1 will receive R233.34.
- Q: How much will each girl in Group 2 receive? A: Each girl in Group 2 will receive R350.01.
- Q: How much will each girl in Group 7 receive? A: Each girl in Group 7 will receive R816.69.
Example Problems
- Problem 1: If R2,000 is divided in the ratio 3:5:2, how much will each girl in Group 3 receive?
- Problem 2: If R1,500 is divided in the ratio 2:4:6, how much will each girl in Group 2 receive?
- Problem 3: If R3,000 is divided in the ratio 5:3:2, how much will each girl in Group 5 receive?
Step-by-Step Solution
- Break down the ratio into its individual parts.
- Calculate the total number of parts.
- Find the value of each part by dividing the total amount by the total number of parts.
- Calculate the amount each girl will receive by multiplying the value of each part by the number of girls in the group.
Tips and Tricks
- When dealing with ratios, make sure to break down the ratio into its individual parts.
- Calculate the total number of parts by adding the individual parts together.
- Find the value of each part by dividing the total amount by the total number of parts.
- Calculate the amount each girl will receive by multiplying the value of each part by the number of girls in the group.
Real-World Applications
- Dividing a certain amount of money among a group of people in a specific ratio.
- Calculating the amount each person will receive when a certain amount of money is divided in a specific ratio.
- Finding the value of each part when a certain amount of money is divided in a specific ratio.
Conclusion
In conclusion, we have successfully calculated the amount each girl will receive when R1,400 is divided in the ratio 2:3:7. Group 1 will receive R233.34 each, Group 2 will receive R350.01 each, and Group 7 will receive R816.69 each. We have also provided example problems and a step-by-step solution to help you understand the concept better.
Q&A: Decrease R1,400 in the Ratio 2:3:7
Q: What is the total amount of money?
A: The total amount of money is R1,400.
Q: What is the ratio of the money?
A: The ratio of the money is 2:3:7.
Q: How many girls are in each group?
A: Group 1 has 2 girls, Group 2 has 3 girls, and Group 7 has 7 girls.
Q: What is the value of each part?
A: The value of each part is R116.67.
Q: How much will each girl in Group 1 receive?
A: Each girl in Group 1 will receive R233.34.
Q: How much will each girl in Group 2 receive?
A: Each girl in Group 2 will receive R350.01.
Q: How much will each girl in Group 7 receive?
A: Each girl in Group 7 will receive R816.69.
Q: What if the ratio is 3:4:5 and the total amount is R2,000?
A: To find the value of each part, divide the total amount by the total number of parts. The total number of parts is 3 + 4 + 5 = 12. The value of each part is R2,000 ÷ 12 = R166.67. To find the amount each girl will receive, multiply the value of each part by the number of girls in the group.
Q: What if the ratio is 2:3:4 and the total amount is R1,500?
A: To find the value of each part, divide the total amount by the total number of parts. The total number of parts is 2 + 3 + 4 = 9. The value of each part is R1,500 ÷ 9 = R166.67. To find the amount each girl will receive, multiply the value of each part by the number of girls in the group.
Q: What if the ratio is 4:5:6 and the total amount is R3,000?
A: To find the value of each part, divide the total amount by the total number of parts. The total number of parts is 4 + 5 + 6 = 15. The value of each part is R3,000 ÷ 15 = R200. To find the amount each girl will receive, multiply the value of each part by the number of girls in the group.
Q: How do I calculate the amount each girl will receive when the ratio is 5:3:2 and the total amount is R2,500?
A: To find the value of each part, divide the total amount by the total number of parts. The total number of parts is 5 + 3 + 2 = 10. The value of each part is R2,500 ÷ 10 = R250. To find the amount each girl will receive, multiply the value of each part by the number of girls in the group.
Q: What if the ratio is 3:2:4 and the total amount is R1,800?
A: To find the value of each part, divide the total amount by the total number of parts. The total number of parts is 3 + 2 + 4 = 9. The value of each part is R1,800 ÷ 9 = R200. To find the amount each girl will receive, multiply the value of each part by the number of girls in the group.
Q: How do I calculate the amount each girl will receive when the ratio is 2:4:6 and the total amount is R2,200?
A: To find the value of each part, divide the total amount by the total number of parts. The total number of parts is 2 + 4 + 6 = 12. The value of each part is R2,200 ÷ 12 = R183.33. To find the amount each girl will receive, multiply the value of each part by the number of girls in the group.
Conclusion
In conclusion, we have provided answers to frequently asked questions about decreasing R1,400 in the ratio 2:3:7. We have also provided example problems and step-by-step solutions to help you understand the concept better.