The price of 6 chocolates and 3 biscuit packets together is 126 rupees. The price of 10 chocolates and 3 biscuits packets is 186 rupees. What is the price of a chocolate?And the price of a biscuit packet?
Answers
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Solution :-
Let us assume that price of a chocolate is Rs. x and price of a biscuit packet is Rs. y .
So,
→ 6x + 3y = 126
→ 3(2x + y) = 126
→ 2x + y = 42 -------- Eqn.(1)
and,
→ 10x + 3y = 186 --------- Eqn.(2)
multiply Eqn.(1) by (3) and subtracting the result from Eqn.(2),
→ (10x + 3y) - 3(2x + y) = 186 - 3 * 42
→ 10x - 6x + 3y - 3y = 186 - 126
→ 4x = 60
→ x = Rs. 15
putting value of x in Eqn.(1),
→ 2 * 15 + y = 42
→ 30 + y = 42
→ y = 42 - 30
→ y = Rs. 12
therefore, Price of a chocolate is Rs. 15 and Price of a biscuit packet is Rs. 12 .
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