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 7830. Find the cost of 38 puffs and 25
pizzas.
Answers
Answer:
here is the answer to the answer 22995, that is the actual
Answer:
The cost of 38 puffs and 25 pizzas is 15,424.
Step-by-step explanation:
Assumption,
Let the cost of one puff be 'x'.
Let the cost of one cup of coffee be 'y'.
Let the cost of one pizza be 'z'
Given,
The cost of 2 puffs, 14 cups of coffee, and 5 pizzas are 356.
i.e. 2x + 14y + 5z = 356....(1)
The cost of 20 puffs, 7 cups of coffee, and 15 pizzas are 7830.
i.e. 20x + 7y + 15z = 7890...(2)
To find,
The cost of 38 puffs and 25 pizzas.
Calculation,
We multiply the equation (2) with 2, then we get:
⇒ 40x + 14y + 30z = 15,780...(3)
Now we subtract equation (1) from (3).
i.e. (40x + 14y + 30z) - (2x + 14y + 5z) = 15,780 - 356
⇒ (40x - 2x) + (14y - 14y) + (30z - 5z) = 15,424
⇒ 38x + 25z = 15,424
Therefore, the cost of 38 puffs and 25 pizzas is 15,424.
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