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
$2.80
$2.80
$0.10
$0.10
$2.50
$2.50
$0.70
Let's assume the cost of a 2-inch marble is x cents.
Since the 1-inch marbles cost 30 cents less than the 2-inch marbles, the cost of a 1-inch marble would be x - 30 cents.
Rochelle buys 25 1-inch marbles for her science project, so the total cost of the 1-inch marbles would be 25 * (x - 30 cents) cents.
According to the information given, Rochelle spends exactly $10, which is equal to 1000 cents.
Setting up the equation:
25 * (x - 30 cents) = 1000 cents
Simplifying the equation:
25x - 750 cents = 1000 cents
Adding 750 cents to both sides:
25x = 1750 cents
Dividing both sides by 25:
x = 70 cents
Therefore, the cost of a 2-inch marble is $0.70.