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
$2.50
$2.80
$2.80
$0.70
$0.70
$0.10
Let's call the cost of a 1-inch marble x.
According to the information given, the cost of a 2-inch marble is x + $0.30.
Rochelle buys 25 1-inch marbles, so she spends 25x.
We are told that Rochelle spends exactly $10, so we can write the equation:
25x = $10
To solve for x, we divide both sides of the equation by 25:
x = $10 / 25
x = $0.40
Therefore, the cost of a 1-inch marble is $0.40.
The cost of a 2-inch marble is x + $0.30 = $0.40 + $0.30 = $0.70.
Therefore, the cost of a 2-inch marble is $0.70.
The correct answer is $0.70.
A local dumpling shop sold 85,248 dumplings last year. Each plate of dumplings sells for $9.89, and there are 12 dumplings per plate. Which value best estimates the shop’s total earnings from selling dumplings?(1 point)
Responses
800,000
800,000
8,000
8,000
8,000,000
8,000,000
80,000
To find the shop's total earnings from selling dumplings, we need to multiply the number of plates sold by the price per plate.
Since there are 12 dumplings per plate and the shop sold 85,248 dumplings in total, we divide the total number of dumplings by 12 to find the number of plates sold.
85,248 dumplings / 12 dumplings per plate = 7,104 plates
Then, we multiply the number of plates by the price per plate:
7,104 plates * $9.89 per plate = $70,219.76
Therefore, the best estimate of the shop's total earnings from selling dumplings is $70,219.76.
The correct answer is not provided in the given options.