Marbles come in two sizes: 1-inch diameter and 2-inch diameter. The 1-inch diameter marbles cost 30 cents less than the 2-inch marbles. Rochelle buys 25 1-inch marbles for her science project and spends exactly $10. Find the cost of a 2-inch marble.(1 point)
Responses
$0.10
$0.10
$0.70
$0.70
$2.80
$2.80
$2.50
Let's assume the cost of a 2-inch marble is x dollars.
According to the given information, the cost of a 1-inch marble is 30 cents less than the cost of a 2-inch marble, so it would be x - 0.30 dollars.
Rochelle buys 25 1-inch marbles for her science project, so the total cost of the 1-inch marbles is 25 * (x - 0.30) dollars.
We know that Rochelle spends exactly $10, so we can set up the following equation:
25 * (x - 0.30) = 10
Simplifying this equation, we get:
25x - 7.50 = 10
Adding 7.50 to both sides of the equation, we get:
25x = 17.50
Dividing both sides of the equation by 25, we get:
x = 0.70
Therefore, the cost of a 2-inch marble is $0.70.
The correct answer is $0.70.