Question

Which of the following equation represents the situation where Kiran bought 5 oranges, 7 apples, and Harish bought 2 oranges, 12 apples for the same amount of total money?

• A. \(5x + 12y = 2x + 7y\)
• B. \(5x + 7y = 2x + 12y\)
• C. \(5x - 7y = 2x - 12y\)
• D. \(5x + 2y = 7x + 12y\)

Hint:

When solving word problems, define variables for the unknowns and translate the situation into equations based on the given information.

Answer 1

The Correct Option is B

Let \(x\) be the price of an orange and \(y\) be the price of an apple. Kiran's total cost for 5 oranges and 7 apples is \(5x + 7y\), and Harish's total cost for 2 oranges and 12 apples is \(2x + 12y\). Since both amounts are equal, we have the equation: \[ 5x + 7y = 2x + 12y \] Thus, the correct answer is option (2).