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
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.
We are told that Rochelle spends exactly $10, which is equal to 1000 cents.
So we have the equation:
25x = 1000.
Dividing both sides of the equation by 25, we get:
x = 40.
Thus, the cost of a 1-inch marble is 40 cents.
The cost of a 2-inch marble is x + 30 = 40 + 30 = 70 cents.
Therefore, the cost of a 2-inch marble is 70 cents.