# Shopping 100 chocolates puzzle

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Answered

You must buy 100 Chocolates for exactly $100, and purchase at least one Chocolates from each store.

- The first store charges 5 cents/Chocolates,
- The second charges $1/Chocolates and
- The third charges $5/Chocolates.

How many Chocolates should you buy from each store?

Best answer

We can solve it mathematically.

Let’s assume that x,y,z chocolates from 1st, 2nd and 3rd stores respectively.

Now, 0.05x + y + 5z= 100

Which simplifies to x + 20y + 100z= 2000

Now, x + y +z = 100

Subtracting we get,

19y + 99z = 1900

y= 100- 99z/19

Now, Z= 19 only.

y=1

x=80

19 from 3rd store

80 from 1st store .

1 from 2nd store

This is a ‘replica’ of the ‘Buying Eggs puzzle’… 🙂

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