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
$2.50
$2.80
$0.70
$0.10
Let's assume the cost of a 2-inch marble is x cents.
According to the given information, the cost of a 1-inch marble is (x - 30) cents.
Rochelle buys 25 1-inch marbles for her science project, so the total cost would be 25(x - 30) cents.
We know that Rochelle spends exactly $10, which is equal to 1000 cents.
So we can set up the equation:
25(x - 30) = 1000
Solving for x, we have:
25x - 750 = 1000
25x = 1000 + 750
25x = 1750
x = 1750/25
x = 70
Therefore, the cost of a 2-inch marble is $0.70.
are you sure
I apologize for the confusion in my previous response. Let's solve the problem again:
Let the cost of a 2-inch marble be x cents.
According to the given information, the cost of a 1-inch marble is (x - 30) cents.
Rochelle buys 25 1-inch marbles for her science project, so the total cost would be 25(x - 30) cents.
We know that Rochelle spends exactly $10, which is equal to 1000 cents.
So we can set up the equation:
25(x - 30) = 1000
25x - 750 = 1000
25x = 1000 + 750
25x = 1750
x = 1750/25
x = 70
Therefore, the cost of a 2-inch marble is $0.70.