Two baskets together have 640 oranges. If fra | vedclass

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

Question

(C) Let the number of oranges in the first basket be $x$ and in the second basket be $y$.Given that $x + y = 640$.If $\frac{1}{5}$ of the oranges from

Vedclass · Accepted Answer

$400$

Vedclass · Answer

(C) Let the number of oranges in the first basket be $x$ and in the second basket be $y$.Given that $x + y = 640$.If $\frac{1}{5}$ of the oranges from the first basket are moved to the second,the new count in the first basket is $x - \frac{1}{5}x = \frac{4}{5}x$.The new count in the second basket is $y + \frac{1}{5}x$.Since the number of oranges becomes equal,we have $\frac{4}{5}x = y + \frac{1}{5}x$.This simplifies to $y = \frac{3}{5}x$.Substituting $y$ in the first equation: $x + \frac{3}{5}x = 640$.$\frac{8}{5}x = 640$.$x = 640 	imes \frac{5}{8} = 80 	imes 5 = 400$.Thus,the number of oranges in the first basket is $400$.

Two baskets together have $640$ oranges. If $\frac{1}{5}$ of the oranges in the first basket are taken to the second basket,the number of oranges in both baskets becomes equal. The number of oranges in the first basket is:

Similar Questions

If the sum of two numbers is $22$ and the sum of their squares is $404,$ then the product of the numbers is

The sum of two numbers is $22$. Five times one number is equal to $6$ times the other. The bigger of the two numbers is

$\sqrt[3]{1331} + \sqrt[3]{1728} = ?$

If $16 \%$ of $40 \%$ of a number is $8,$ the number is

$36 + 451 \div 11$

Vedclass Test Series

Exam Paper Generator

Online Exam Module