A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
After Ian gave 1/4 of his money to Juan, Juan has twice as much money as Ian. What was the ratio of Ian's money to Juans money at fist?
anonymous
 one year ago
After Ian gave 1/4 of his money to Juan, Juan has twice as much money as Ian. What was the ratio of Ian's money to Juans money at fist?

This Question is Open

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442343256173:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so we aren't given any numbers, so we have to make some up to figure it out. Let's give Ian $12. We need to figure out how much Juan has.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ian gave 1/4 of his money to Juan. 1/4 of $12 is $3 (12/4=3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Juan now has twice as much money as Ian. Since Ian gave away $3, he now has $9. So double $9 and you get $18. So Juan has $18 at the end.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But the question is asking about in the beginning. And we know Ian gave Juan $3 to get to that amount. So if we subtract $3 from Juan's ending amount, we get what he started with.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0$18$3= $15. Juan started with $15.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the ratio of the starting amounts of Ian and Juan is $12:$15, which can be simplified to 4:5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The ending ratio would be the same even if you pretended Ian started with $16. He gave 1/4 away which is $4. Ian now has $12. Juan has twice as much, so he has $24, but $4 of those 24 were Ian's. 244=20. Juan started with 20, and Ian started with 16. 16:20 simplifies to 4:5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes! That makes sense!! Thank you very much!!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.