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?
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?
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When solving word problems, define variables for the unknowns and translate the situation into equations based on the given information.
Updated On: Apr 17, 2025
- \(5x + 12y = 2x + 7y\)
- \(5x + 7y = 2x + 12y\)
- \(5x - 7y = 2x - 12y\)
- \(5x + 2y = 7x + 12y\)
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The Correct Option is B
Solution and Explanation
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).
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