Middle School

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You and your friend rent a kayak. It costs $40 for the first 4 hours and $7.50 for each extra hour. Your total cost is $62.50. Write and solve an equation to find the number of extra hours you rented the kayak.

Answer :

Final answer:

Subtract the fixed cost of the first 4 hours from the total cost to find the amount spent on extra hours. Define 'x' as the number of extra hours and set up the equation $7.50*x=$22.50. Divide both sides by $7.50 to solve for 'x' and find that 3 additional hours were rented.

Explanation:

The subject of this problem is basic algebra. We know that the first 4 hours of kayak rental cost $40, and every additional hour cost $7.50. The total cost was $62.50. To get the cost of additional hours, subtract the fixed cost of the first 4 hours from the total cost, so $62.50 - $40 = $22.50. This $22.50 represents the additional time you spent with the kayak. Define x as the number of additional hours. Thus the equation is $7.50 * x = $22.50. Divide both sides by $7.50 to solve for x, so x = $22.50 / $7.50 = 3. This means that you rented the kayak for 3 additional hours.

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