Mike D. answered • 10/26/20

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Suppose the price is $ x

Then she can purchase 12/x packs at the first store

At a discount store the price is $ (x - 0.50) per pack

So for $ 12 she can purchase 12 / (x-0.50)

So 12/x + 2 = 12 / (x-0.50)

12/x = 12 / (x-0.50) - 2 = (12 - 2x + 1) / (x - 0.50)

So 12 (x-0.50) = x (12-2x+1)

12x - 6 = 12x - 2x^{2} + x

2x^{2}-x-6 = 0

(2x+3) (x-2) = 0

x = 2

So $ 2

Check.

For $ 12 she can buy 6 packs

If price is $ 1.50 she can but 12/1.5 = 8 packs = 6 + 2

Mike D.

10/26/20