The total of the prices of two pans is $25.94, and the price of the more expensive pan is $5.96 greater than the price of the less expensive pan. What is the price of the more expensive pan?

Rationale

The price of the more expensive pan is $15.95.

To find the price of the more expensive pan, we can set up a system of equations based on the information provided. If we let the price of the less expensive pan be x, then the price of the more expensive pan would be x + $5.96. The total price of both pans is $25.94, leading to the equation: x + (x + 5.96) = 25.94. Solving this gives us the price of the more expensive pan as $15.95.

A ($9.99) YOUR ANSWER

If the more expensive pan were priced at $9.99, then the less expensive pan would need to be priced at $4.03 ($9.99 - $5.96). This results in a total of $14.02, which does not match the given total of $25.94.

B ($12.97) YOUR ANSWER

Choosing $12.97 as the price for the more expensive pan would imply the less expensive pan costs $6.01 ($12.97 - $5.96). This totals to $18.98, which again does not equal the required total of $25.94.

C ($14.05) YOUR ANSWER

If the more expensive pan is $14.05, then the less expensive pan would cost $8.09 ($14.05 - $5.96). Together, they would total $22.14, which is still short of the required total of $25.94.

D ($15.95) CORRECT

Setting the price of the more expensive pan at $15.95 allows for a less expensive pan price of $9.99 ($15.95 - $5.96). This gives a total of $25.94, perfectly matching the total given in the question.

E ($16.98) YOUR ANSWER

If the more expensive pan were $16.98, the less expensive pan would have to cost $10.02 ($16.98 - $5.96). This results in a total of $27.00, which exceeds the stated total of $25.94.

Conclusion

The price of the more expensive pan is accurately determined to be $15.95. This value is consistent with the conditions provided in the question, where the total of both pans sums to $25.94, and the price difference aligns precisely with the given parameters. The other options do not satisfy these conditions, confirming that $15.95 is the only valid solution.

The total of the prices of two pans is $25.94, and the price of the more expensive pan is $5.96 greater than the price of the less expensive pan. What is the price of the more expensive pan?

The price of the more expensive pan is $15.95.

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