Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
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.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
