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  4. The cost of 2 puffs, 14 cups of coffee and 5 pizzas is ₹ 356 . The cost of 20 puffs, 7 cups of coffee and 15 pizzas is ₹ 830 . Find the cost of 38 puffs and 25 pizzas. (in ₹)

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Q. The cost of 2 puffs, 14 cups of coffee and 5 pizzas is ₹ 356 . The cost of 20 puffs, 7 cups of coffee and 15 pizzas is ₹ 830 . Find the cost of 38 puffs and 25 pizzas. (in ₹)

Pair of Linear Equations in Two Variables

Solution:

Let the cost of each puff be $p$.
Let the cost of each coffee be $c$.
Let the cost of each pizza be $z$.
Then $2 p+14 c+5 z=356$
Also, $20 p+7 c+15 z=830$
Multiply Eq. (2) by 2 , we have
$40 p+14 c+30 z=1660$
Subtracting Eq. (1) from Eq. (3), we have, $38 p+25 z=1304$