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macintoshical101

Answer:

4:1 (I think)

Step-by-step explanation:

Let's write some equations first:

For both prices increasing by 20:

[tex]\frac{x+20}{y+20} =\frac{5}{2}[/tex]

then we can use cross multiplication

2x+40=5y+100

For both prices decreasing by 5:

[tex]\frac{x-5}{y-5} =\frac{5}{1}[/tex]

same here:

5y-25=x-5

Using substitution for 5y, we get: 5y=x+20

2x+40=5y+100

2x+40=x+20+100

x=80

plugging this in to the second equation:

5y-25=x-5

5y-25=80-5

5y-25=75

5y=100

y=20

therefore we get x:y=80:20

4:1

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