Question

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?

Answer 1

Whst

Answer 2

What?

Answer 3

Ok 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.

Answer 4

Ian gave 1/4 of his money to Juan. 1/4 of $12 is $3 (12/4=3)

Answer 5

Juan 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.

Answer 6

But 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.

Answer 7

$18-$3= $15. Juan started with $15.

Answer 8

so the ratio of the starting amounts of Ian and Juan is $12:$15, which can be simplified to 4:5

Answer 9

The 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. 24-4=20. Juan started with 20, and Ian started with 16.
16:20 simplifies to 4:5

Answer 10

Understand?

Answer 11

Yes! That makes sense!! Thank you very much!!