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

1 answer

Let's represent the cost of a 1-inch marble as x.
The cost of a 2-inch marble is x + 30 cents.
Rochelle buys 25 1-inch marbles for her science project and spends exactly $10, so the cost of 25 1-inch marbles is 10 dollars.
25x = 10
x = 10/25
x = 0.4
The cost of a 2-inch marble is x + 30 cents = 0.4 + 0.3 = 0.7
So the cost of a 2-inch marble is $0.70. Answer: \boxed{0.70}.