The number of yo-yo's Jane and Jill have is required.
The number of yo-yo's Jane has is 75 and Jill has 60 yo-yo's.
The ratio of Jane's yo-yo to Jill's yo-yo is [tex]\dfrac{5}{4}[/tex]
Let x be the number of yo-yo's Jane has
y be the number of yo-yo's Jill has
[tex]\dfrac{x}{y}=\dfrac{5}{4}[/tex]
When Jane's gives 15 of her yo-yo's away both will have the same number of yo-yo's so
[tex]x-15=y[/tex]
substituting in the first equation
[tex]\dfrac{x}{x-15}=\dfrac{5}{4}\\\Rightarrow 4x=5x-75\\\Rightarrow x=75[/tex]
[tex]y=x-15=75-15\\\Rightarrow x=60[/tex]
The number of yo-yo's Jane has is 75 and Jill has 60 yo-yo's.
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