Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Answers
The ratio x:y:z is 10:5:3
Ali got 20,000
===================================================
Explanation:
Let
- x = amount Ali got
- y = amount Ben got
- z = amount Chris got
Those amounts add to 36,000
x+y+z = 36,000
We're told that x = 2y, so let's replace x with 2y in the equation above to get these steps
x+y+z = 36,000
2y+y+z = 36,000
3y+z = 36,000
We're also told that 3y = 5z, so we can replace that previously mentioned 3y with 5z to end up with one variable, in which we can solve for like shown below.
3y+z = 36,000
5z+z = 36,000
6z = 36,000
z = (36,000)/6
z = 6,000
This tells us that Chris got 6,000
Use this to find y
3y = 5z
3y = 5*6,000
3y = 30,000
y = (30,000)/3
y = 10,000
Ben received 10,000
Lastly, determine x.
x = 2y
x = 2*10,000
x = 20,000 which is the amount Ali got.
The ratio x:y:z turns into 20,000:10,000:6,000 which fully simplifies to 10:5:3 after dividing all three parts by the GCF 2000. It might be tempting to try to reduce the 10:5 portion into 2:1, but we cannot divide by 5 since it's not a factor of that 3 at the end.
-------------------------
Check:
Ali + Ben + Chris = 20,000 + 10,000 + 6,000 = 36,000
which helps confirm the answer.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.