Question

8 1/2 bottles contains 42 2/3 litres of water. What is the capacity of each bottle

Answer 1

first convert the fractions into improper fraction

so,17/2
128/3

then divide 128/3 by 17/2

so we will get 256/51(cross multiplication)

Answer 2

Answer:

12.2 litres

Step-by-step explanation:

Given, 8(1/2) bottles contain 42(2/3) litres of water.

To Find: The capacity of each bottle in the above mentioned case.

Explanation:

• Given data are all in Mixed Fractions. So, We will have to convert them into Improper Fractions.
• Then, we will simply divide the total amount of water contained in all the bottles together by the number of bottles used to obtain our desired answer.
• So, converting the number of bottles into Improper Fractions, we get

$8 \frac{1}{2} = 8 + \frac{1}{2} \\ = \frac{(2 \times 8) + 1}{2} \\ = \frac{16 + 1}{2} \\ = \frac{17}{2}$

• converting the total amount of water into mixed fractions, we get

$42\frac{2}{3} = 42 + \frac{2}{3} \\ = \frac{(3 \times 42) + 2}{3} \\ = \frac{126 + 2}{3} \\ = \frac{128}{3}$

• i.e., (128/3) litres of water is being stored in (17/2) bottles.
• Now using the unitary method, we will calculate how many litres of water can be stored in each bottle, i.e.,
• (17/2) can store (128/3) litres of water,

then, 1 bottle can store

$\frac{ \frac{128}{3} }{ \frac{17}{2} } = \frac{128}{3} \times \frac{2}{17} \\ = \frac{128 \times 2}{3 \times 17} \\ = \frac{256}{51} \\ = 12.2 \: litres$

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