Soru

Zorluk: OrtaUS Customary Weight Measurements

A disaster relief team is assembling emergency survival kits. Each kit must contain exactly 1515 ounces of high-energy rations. If the team receives a bulk shipment of 2.42.4 tons of these rations, what is the total number of complete kits they can assemble?

  1. A
    320320
  2. B
    2,5602,560
  3. C
    3,2003,200
  4. 5,1205,120Cevap

Cevap

The team can assemble exactly 5,120 complete survival kits.
To find the number of kits, the total weight must be converted to the same unit as the kit requirement. Converting 2.42.4 tons to pounds yields 4,8004,800 pounds (using 2,0002,000 pounds per ton). Converting 4,8004,800 pounds to ounces yields 76,80076,800 ounces (using 1616 ounces per pound). Dividing the total 76,80076,800 ounces by 1515 ounces per kit results in exactly 5,1205,120 kits.

Adım Adım Çözüm

1
Convert the total weight of the shipment from tons to pounds.
2.4×2,000=4,8002.4 \times 2,000 = 4,800 pounds
There are 2,000 pounds in 1 US ton, which is the first step in moving toward the required unit of ounces.
2
Convert the total weight from pounds to ounces.
4,800×16=76,8004,800 \times 16 = 76,800 ounces
There are 16 ounces in 1 pound. The total supply must be in the same units as the individual kit requirement to calculate the number of kits.
3
Divide the total ounces available by the ounces required for one kit.
76,800÷15=5,12076,800 \div 15 = 5,120 kits
Dividing the total mass of rations by the mass per kit determines how many complete kits can be created.

Anahtar Kavram

To divide a bulk quantity into smaller parts, all measurements must be converted to the same unit using standard US customary weight conversions (1 ton = 2,000 pounds; 1 pound = 16 ounces).
Bu soruyu puanla