Anand wants to give a party to 21 people. He wants to give each one of them 6 chocolates. One pack of the chocolates contains 5 chocolates.
How many packs does he need to buy?
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Answer:
Let the total number of chocolates with Rahil be xx .
No. of chocolates given to brother = x/3x/3
No. of chocolates given to friend = x/6x/6
No. of chocolates remaining with Rahil = 3030
x = x/3 + x/6 + 30x=x/3+x/6+30
⇒ - 30 = x/3 + x/6 - x (Transposing 30 to LHS, becomes - 30 and transposing x to RHS, becomes - x)
⇒30 = - x/3 - x/6 + x
⇒30 = - 2x/6 - x/6 + 6x/6
⇒30 = 3x/6
⇒3x = 6 * 30
⇒3x = 180
⇒x = 180/3
⇒x = 60
Total no. of chocolates with Rahil = 6060
No. of chocolates given to brother = x/3 = 60/3 = 20x/3=60/3=20
No. of chocolates given to freind = x/6 = 60/6 = 10x/6=60/6=10
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