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Zorluk: ZorUS Customary Weight Measurements

A supply depot receives a shipment of 1.81.8 tons of emergency rations. The personnel first distribute the rations into 24 bulk storage containers, placing exactly 50 pounds into each container. The remaining rations are then divided into individual meal packets that contain 15 ounces each. How many complete 15-ounce meal packets can be filled from the remaining rations?

  1. A
    10
  2. B
    160
  3. C
    1600
  4. 2560Cevap

Cevap

2560
The correct answer is found by first converting the 1.8 tons to 3,600 pounds. Next, subtract the 1,200 pounds used for the bulk containers to get 2,400 pounds remaining. Convert this remainder to ounces by multiplying by 16, yielding 38,400 ounces. Finally, dividing by the 15-ounce packet size results in exactly 2,560 packets.

Adım Adım Çözüm

1
Convert the total weight of the shipment from tons to pounds.
1.8×2000=36001.8 \times 2000 = 3600 pounds
Standardizing the initial weight into pounds is required because the bulk containers are measured in pounds.
2
Calculate the total weight placed into the bulk storage containers.
24×50=120024 \times 50 = 1200 pounds
This establishes how much of the shipment has already been allocated.
3
Subtract the bulk storage weight from the total weight to find the remaining pounds.
3600−1200=24003600 - 1200 = 2400 pounds
This isolates the remaining weight that will be used for the individual meal packets.
4
Convert the remaining weight from pounds to ounces.
2400×16=384002400 \times 16 = 38400 ounces
The meal packets are measured in ounces, so the remaining bulk weight must match these units before dividing.
5
Divide the remaining ounces by the size of each meal packet.
38400÷15=256038400 \div 15 = 2560 packets
This final division determines the exact number of packets that can be completely filled.

Anahtar Kavram

Multi-step conversion between US Customary weight units (tons, pounds, ounces)
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Konular

US Customary Weight Measurements

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