Question

165 litres of oil was divided in the ratio 3:8. Find how many
each part would have?


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Answer 1

⇒ Correct Question :-

• 165 litres of oil was divided in the ratio 3:8. Find how many  litres each part would have?

⇒ Given :-

• 165 litres of oil was divided in the ratio 3:8.

⇒ To Find :-

• Find how many  litres each part would have?

⇒ Solution :-

• Let the quantity of oil in two parts be 3x L and 8x L.

• 3x + 8x = 11x = Total Oil

= 11x = 165

= x = ${\sf{\dfrac{165}{11}}}$ = 15

• ∴ 3x = 3 x 15 = 45; 8x = 8 x 15 = 120

Ans. 165 L was divided into 45 L and 120 L.

$\huge{\boxed{\sf{\ Hence\:\:Proved}}}$

Answer 2

${\large{\underline{\boxed{\pink{\bf{Given :}}}}}}$

• Liters of Petrol = 165 liters.
• Divided in the ratio of 3 : 8

${\large{\underline{\boxed{\pink{\bf{To \: \: find :}}}}}}$

• How many Liters of petrol does each part would have?

${\Large{\underline{\boxed{\red{\bf{Solution :}}}}}}$

Assume that :-

• Ratio be in x form.

We have :-

• 3x and 8x liters of petrol.

So, according to the question:-

$\\ {\large{\bf{\implies{3x + 8x = 165}}}}$

$\\{\large{\bf{\implies{11x = 165}}}}$

$\\ {\large{\bf{\implies{x = \frac{165}{11} }}}}$

$\\ {\large{\underline{\boxed{\blue{\bf{x = 15}}}}}}$

Liters of petrol does each part would have is :-

${\Large{\sf{\leadsto{3x}}}} \\ \: \: \: \: \: \: \: \: \: \: \: {\Large{\sf{\leadsto{3 \times 15}}}} \\ {\Large{ \underline{ \boxed{ \green{ \bf{\leadsto{45 \: liters}}}}}}}$

${\Large{\sf{\leadsto{8x}}}} \\ \: \: \: \: \: \: \: \: \: \: \: {\Large{\sf{\leadsto{8 \times 15}}}} \\ {\Large{ \underline{ \boxed{ \green{ \bf{\leadsto{120 \: liters}}}}}}}$

So, each part would have 45 and 120 Liters respectively.

VERIFICATION:-

》Total petrol = Value of 3x + Value of 8x

》165 = 45 + 120

》165 = 165

So, LHS = RHS

So, our answer 45 and 120 is correct answer.