Three small water bottles and five large water bottles can hold 17 liters of water. Two large water bottles minus one small water bottle constitute a liter of water. How many liters of water can one large water bottle hold?

Class: 10

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Detailed Solution

Let ‘x’ be the large water bottle and ‘y’ be the small water bottle.
Now;
3x + 5y = 17   …(i)
2x + y = 9   …(ii)
Now from equation (i)
5y = 17 – 3x
y =
putting the value of y in equation (ii)
⇒ 10x + 17 – 3x = 45 ⇒ 7x = 45 – 17
x = 4
∴ one large water bottle will hold 4 liters of water.

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