Math  /  Algebra

QuestionIn 2 hours a candymaker can produce 80 boxes that each contain 10 pieces of candy. How many pieces of candy does the candymaker produce in 6 hours? [A] 480 [B] 4800 [C] 2400 [D] 600

Studdy Solution

STEP 1

1. The candymaker produces 80 boxes in 2 hours.
2. Each box contains 10 pieces of candy.
3. We need to find out how many pieces of candy are produced in 6 hours.

STEP 2

1. Determine the number of boxes produced per hour.
2. Calculate the total number of boxes produced in 6 hours.
3. Calculate the total number of pieces of candy produced in 6 hours.

STEP 3

Determine the number of boxes produced per hour.
The candymaker produces 80 boxes in 2 hours. Therefore, the number of boxes produced per hour is:
Boxes per hour=80 boxes2 hours=40 boxes per hour \text{Boxes per hour} = \frac{80 \text{ boxes}}{2 \text{ hours}} = 40 \text{ boxes per hour}

STEP 4

Calculate the total number of boxes produced in 6 hours.
Using the rate from Step 1, the total number of boxes produced in 6 hours is:
Total boxes in 6 hours=40 boxes/hour×6 hours=240 boxes \text{Total boxes in 6 hours} = 40 \text{ boxes/hour} \times 6 \text{ hours} = 240 \text{ boxes}

STEP 5

Calculate the total number of pieces of candy produced in 6 hours.
Since each box contains 10 pieces of candy, the total number of pieces of candy is:
Total pieces of candy=240 boxes×10 pieces/box=2400 pieces \text{Total pieces of candy} = 240 \text{ boxes} \times 10 \text{ pieces/box} = 2400 \text{ pieces}
The number of pieces of candy produced in 6 hours is:
2400 \boxed{2400}

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