Question

6th grade math: advanced operations & decimals
focus: complex division and real - world math.

1. a grocery store orders 3,600 apples. they are packed into crates of 48. how many crates are there?
2. a group of 15 friends split a dinner bill of $345 equally. how much does each person owe?
3. a car travels 462 miles on 14 gallons of gas. how many miles does it get per gallon?
4. a company produces 9,120 pens and ships them in boxes of 24. how many boxes are shipped?
5. if a laptop costs $899 and a school buys 25 of them, what is the total cost?
6. a swimming pool holds 12,500 gallons. if a pump fills it at 50 gallons per minute, how many minutes will it take?
7. a construction crew needs 4,200 bricks. bricks come in pallets of 150. how many pallets should they order?

Explanation:

Problem 1

Step1: Identify the operation

We need to find the number of crates, which is the total number of apples divided by the number of apples per crate. So we use division: \( \text{Number of crates} = \frac{\text{Total apples}}{\text{Apples per crate}} \)

Step2: Substitute the values

Total apples = 3600, Apples per crate = 48. So \( \text{Number of crates} = \frac{3600}{48} \)

Step3: Perform the division

\( 3600 \div 48 = 75 \)

Step1: Identify the operation

To find out how much each person owes, we divide the total bill by the number of friends. So \( \text{Amount per person} = \frac{\text{Total bill}}{\text{Number of friends}} \)

Step2: Substitute the values

Total bill = 345, Number of friends = 15. So \( \text{Amount per person} = \frac{345}{15} \)

Step3: Perform the division

\( 345 \div 15 = 23 \)

Step1: Identify the operation

To find miles per gallon, we divide the total miles by the number of gallons. So \( \text{Miles per gallon} = \frac{\text{Total miles}}{\text{Gallons of gas}} \)

Step2: Substitute the values

Total miles = 462, Gallons of gas = 14. So \( \text{Miles per gallon} = \frac{462}{14} \)

Step3: Perform the division

\( 462 \div 14 = 33 \)

Answer:

75

Problem 2