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Zorluk: Çok zorUS Customary Capacity and Volume

The motor pool needs to prepare a specialized antifreeze mixture for 56 tactical vehicles. Each vehicle requires exactly 3.5 gallons of the final mixture. The required mixture consists of 3 parts concentrated coolant to 4 parts distilled water by volume. The motor pool currently has 20 gallons, 1 quart, and 1 pint of concentrated coolant in inventory. How many additional pints of concentrated coolant must be requisitioned to complete the maintenance on all vehicles?

  1. 509Cevap
  2. B
    512
  3. C
    733
  4. D
    1013

Cevap

509
The correct answer accurately calculates the total final mixture as 196 gallons (56 * 3.5). Using the 3:4 ratio, the coolant represents 3/7 of the total, meaning 84 gallons of coolant are needed. Converting 84 gallons to pints gives 672 pints. The inventory of 20 gallons, 1 quart, and 1 pint equals exactly 163 pints (160 + 2 + 1). Subtracting the 163 pints in inventory from the 672 pints needed leaves a deficit of 509 pints.

Adım Adım Çözüm

1
Calculate the total volume of the final mixture required for all vehicles.
56 vehicles * 3.5 gallons/vehicle = 196 gallons of final mixture.
Determines the total capacity needed before finding the specific amount of concentrated coolant.
2
Determine the volume of concentrated coolant needed.
196 gallons * (3 parts coolant / 7 total parts) = 84 gallons of concentrated coolant.
Applies the part-to-whole ratio (3 parts coolant + 4 parts water = 7 total parts) to find the coolant portion.
3
Convert the required amount of coolant into pints.
84 gallons * 8 pints/gallon = 672 pints.
Prepares the required amount in the target unit (pints) requested by the question. (1 gallon = 4 quarts, 1 quart = 2 pints).
4
Convert the current inventory of coolant into pints.
(20 gallons * 8) + (1 quart * 2) + 1 pint = 160 + 2 + 1 = 163 pints.
Standardizes the inventory volume to pints so it can be subtracted from the total required.
5
Subtract the inventory from the total needed to find the additional amount required.
672 pints - 163 pints = 509 pints.
Finds the exact deficit that must be requisitioned.

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