Three boxes of capacity 24, kg,36, kg,and 84, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The capacities of the three boxes are $24\, kg$,$36\, kg$,and $84\, kg$.Total weight of the mixture $= 24 + 36 + 84 = 144\, kg$.The ratio of wheat

Vedclass · Accepted Answer

$14$

Vedclass · Answer

(C) The capacities of the three boxes are $24\, kg$,$36\, kg$,and $84\, kg$.Total weight of the mixture $= 24 + 36 + 84 = 144\, kg$.The ratio of wheat $A$,$B$,and $C$ in the mixture is $24 : 36 : 84$,which simplifies to $2 : 3 : 7$.The fraction of type $A$ wheat in the total mixture is $\frac{2}{2+3+7} = \frac{2}{12} = \frac{1}{6}$.Since the mixture is distributed back into the boxes,the third box (capacity $84\, kg$) will contain the same proportion of type $A$ wheat as the total mixture.Quantity of type $A$ wheat in the third box $= \frac{1}{6} 	imes 84 = 14\, kg$.

Similar Questions

$4 \, kg$ of potato at $Rs. \,5$ per $kg$ is mixed with $8 \,kg$ of potato at $Rs. \,6$ per $kg.$ Find the average price of the mixture (in $Rs.$ per $kg$).

$A$ mixture of $80$ litre of milk and water contains $10 \%$ water. How much water must be added to make $20 \%$ water in the new mixture? (in $litre$)

How many $Kg$ of tea,worth ₹ $25$ per $Kg$,must be blended with $30 \ Kg$ of tea worth ₹ $30$ per $Kg$,so that by selling the blended variety at ₹ $30$ per $Kg$ there should be a gain of $10 \%$?

In what ratio must oil at $Rs. 62$ per $kg$ be mixed with oil at $Rs. 72$ per $kg$ so that the mixture is worth $Rs. 64.50$ per $kg$?

$A$ shopkeeper bought $15 \text{ kg}$ of rice at the rate of $Rs. 29$ per $\text{kg}$ and $25 \text{ kg}$ of rice at the rate of $Rs. 20$ per $\text{kg}$. He sold the mixture of both types of rice at the rate of $Rs. 27$ per $\text{kg}$. His profit in this transaction is (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module