Question

Two men buy apples and oranges. One person buys 5 apples and 2 oranges for ₹20. Another person buys 3 apples and 5 oranges for ₹ 31. Find the algebraic expression representing the above condition.

• A. $5x+2y=20;3x+5y=31$
• B. $2x+5y=20;3x+5y=31$
• C. $5x+2y=30;5x+3y=31$
• D. $2x+5y=30;5x+3y=31$

Answer 1

The correct option is A

$5x+2y=20;3x+5y=31$

Let cost of an apple be $x$ and cost of an orange be $y.$

$\Rightarrow$ Cost of 5 apples is $5x$ and cost of 2 oranges is $2y$.

Amount spent for 5 apples and 2 oranges is ₹ 20.

Therefore, the equation is $5x+2y=20$.

Cost of 3 apples is $3x$ and cost of 5 oranges is $5y$.

Amount spent for 3 apples and 5 oranges is ₹ 31.

Therefore, the equation is $3x+5y=31$.