Buy Maths Chocolate Puzzle Solution - 10 June
A kid goes to a confectionery and buys three kinds of chocolates. The first one is priced at 5 rupees, second one at 3 rupees and third one at 0.5 rupees.
If he bought 100 chocolates in total, how many pieces do you think he bought of each chocolate?
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SolutionLet us denote the chocolates with a, b and c.
We can frame the following two equations now
a + b + c = 100 ------ (1)
5a + 3b + 0.5c = 100
or 10a + 6b + c = 200 ---- (2)
Now, 2*[(Eq. 2) - (Eq.1)]
9a + 5b = 100
from this equation"a" should be a multiple of 5
for a = 5 ; b = 11
for a = 10 ; b = 2
for a = 15 or more b becomes -ve
Therefore, the two possible answers are
a = 5, b = 11, c = 84
a = 10, b = 2, c = 88
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