Question

Which of the following equations represents the situation: The cost of an item reduced by $2.50 equals $10.50?

a) ( $2.50X - $2 = $10.50)
b) ( $2X + $2.50 = $10.50)
c) ( $2.50X + $2 = $10.50)
d) ( $10.50X - $2.50 = $2)

Answer 1

The equation representing the cost of an item reduced by $2.50 equals to $10.50 is C - $2.50 = $10.50, where 'C' is the original cost of the item. The correct original cost is found to be $13.00, and none of the answer choices provided match the correct representation.

Step-by-step explanation:

The student is trying to create an equation to represent the situation where the cost of an item is reduced by $2.50 and the resulting price is $10.50. The correct equation for this scenario would be:

Cost of item - $2.50 = $10.50

Representing the cost of the item as a variable (let's use 'C'), the equation would be written as:

C - $2.50 = $10.50

To find the original cost of the item before the reduction, you would add $2.50 to both sides of the equation, giving you:

C = $10.50 + $2.50

C = $13.00

Therefore, the original price of the item was $13.00 before the reduction of $2.50.

Looking at the provided options, none of the equations correctly represent the given situation. The correct equation should show that when you subtract $2.50 from the cost of the item, you get $10.50. The correct choice should therefore appear as:

( Cost - $2.50 = $10.50 )

This is not listed as an option in the question provided, indicating a possible typo or error in the choices.