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 $2.50 $2.50 $2.80
Let's assume the cost of a 1-inch marble is x cents.
According to the given information, the cost of a 2-inch marble is (x + 30) cents.
Rochelle buys 25 1-inch marbles, so she spends 25x cents.
Since Rochelle spends exactly $10, we can write the equation:
25x = 1000 (in cents)
Dividing both sides by 25, we get:
x = 40
Therefore, the cost of a 2-inch marble is (40 + 30) = 70 cents.
The cost of a 2-inch marble is $0.70. Answer: \boxed{0.70}.