J and I collect yo-yos.The ratio to Js yo-yos to Is is 5:4. If J loses 15 of her yo-yos then she and I will have the same number of yo-yos in their collection. How many yo-yos do both have together?

Answer 1

Let's say the number of yo-yos J has is 5x.
The number of yo-yos I have is 4x.
If J loses 15 yo-yos, the total number of yo-yos J and I will have is (5x-15)+(4x)= 9x-15=4x
Combining like terms, we get 5x=15
The value of x is 15/5 = <<15/5=3>>3
The total number of yo-yos that both have is (5x+4x) =5*3+4*3 = 15+12 = <<5*3+4*3=27>>27. Answer: \boxed{27}.