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There are two types of chocolate boxes i.e. P and Q in a shop. In P there are 30 Cadbury chocolates and 20 Munch chocolates while in Q there are 5 Cadbury and 10 munch chocolates. How many minimum boxes of P and Q boxes should we take such that the ratio of Cadbury chocolates to munch chocolates become 1 : 1?

There are two types of chocolate boxes i.e. P and Q in a shop. In P there are 30 Cadbury chocolates and 20 Munch chocolates while in Q there are 5 Cadbury and 10 munch chocolates. How many minimum boxes of P and Q boxes should we take such that the ratio of Cadbury chocolates to munch chocolates become 1 : 1? Correct Answer 1 and 2

Let there be x number of P boxes and y number of Q boxes

Cadbury chocolate in x boxes of P = 30x

Munch chocolate in x boxes of P = 20x

Cadbury chocolate in y boxes of Q = 5y

Munch chocolate in y boxes of Q = 10y

For 1 : 1 ratio

⇒ 30x + 5y = 20x + 10y

⇒ 10x = 5y

⇒ x/y = 1/2

⇒ x = a and y = 2a

We have to take minimum number of boxes

⇒ x = 1 and y = 2

∴ 1 P box and 2 Q boxes must be taken

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