Question

A truck is carrying 10^3 bushels of apples, 10^2 bushels of grapes, and 10^1 bushels of oranges. Each bushel of apples weighs 32 pounds, each bushel of grapes weighs 25 pounds, and each bushel of oranges weighs 42 pounds. What is the total weight of the fruit in pounds? (1 point) Responses 3,592 pounds 3,592 pounds 5,742 pounds 5,742 pounds 32,299 pounds 32,299 pounds 34,920 pounds 34,920 pounds

Answer 1

To calculate the total weight of the fruit in pounds, we need to determine the weight for each type of fruit and then sum them up.

1. Weight of apples:

   • Number of bushels: \(10^3 = 1,000\)
   • Weight per bushel: 32 pounds
   • Total weight of apples = \(1,000 \text{ bushels} \times 32 \text{ pounds/bushel} = 32,000 \text{ pounds}\)

2. Weight of grapes:

   • Number of bushels: \(10^2 = 100\)
   • Weight per bushel: 25 pounds
   • Total weight of grapes = \(100 \text{ bushels} \times 25 \text{ pounds/bushel} = 2,500 \text{ pounds}\)

3. Weight of oranges:

   • Number of bushels: \(10^1 = 10\)
   • Weight per bushel: 42 pounds
   • Total weight of oranges = \(10 \text{ bushels} \times 42 \text{ pounds/bushel} = 420 \text{ pounds}\)

Now, we add up all the weights:

\[ \text{Total Weight} = \text{Weight of Apples} + \text{Weight of Grapes} + \text{Weight of Oranges} \] \[ \text{Total Weight} = 32,000 + 2,500 + 420 \] \[ \text{Total Weight} = 34,920 \text{ pounds} \]

Therefore, the total weight of the fruit is 34,920 pounds.