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
$0.70
$0.70
$2.80
$2.80
$2.50
$2.50
$0.10
Let's assume the cost of a 2-inch marble is x cents.
The cost of a 1-inch marble is 30 cents less than the cost of a 2-inch marble, so it is (x - 30) cents.
Rochelle buys 25 1-inch marbles, so the total cost of the 1-inch marbles is 25 * (x - 30) cents.
The total cost of the 1-inch marbles is $10, which is equivalent to 1000 cents.
So we have the equation: 25 * (x - 30) = 1000.
Simplifying, we get: x - 30 = 40.
Adding 30 to both sides, we get: x = 70.
Therefore, the cost of a 2-inch marble is $0.70.
So the correct answer is $0.70.