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Zorluk: ZorDividing in a Ratio

An aviation maintenance team is preparing a specialized anti-icing fluid blend consisting of glycol, water, and an additive in the ratio of 8:3:18:3:1 by volume. If the team needs to prepare a total of 6060 gallons of this fluid, how many more quarts of glycol are required than water?

  1. A
    25
  2. 100Cevap
  3. C
    150
  4. D
    160

Cevap

100
To solve this, first find the total number of parts in the ratio by adding 8+3+1=128 + 3 + 1 = 12 parts. Since the total volume is 6060 gallons, each part represents 60÷12=560 \div 12 = 5 gallons. Glycol accounts for 88 parts and water accounts for 33 parts, making a difference of 55 parts. The difference in gallons is 5×5=255 \times 5 = 25 gallons. Finally, convert gallons to quarts by multiplying by 44 (11 gallon = 44 quarts), which gives 25×4=10025 \times 4 = 100 quarts.

Adım Adım Çözüm

1
Determine the total number of parts in the ratio.
8+3+1=128 + 3 + 1 = 12 parts
To find the volume of a single part, the total parts must be known.
2
Calculate the volume of one part in gallons.
60÷12=560 \div 12 = 5 gallons per part
Dividing the total volume by the total parts gives the value of one part.
3
Find the difference in volume between glycol and water in gallons.
Glycol is 88 parts and water is 33 parts. Difference = 55 parts. 5×5=255 \times 5 = 25 gallons.
The question asks for the exact difference between the two components.
4
Convert the difference from gallons to quarts.
25×4=10025 \times 4 = 100 quarts
The question specifically asks for the final answer in quarts, and there are 44 quarts in a gallon.

Anahtar Kavram

Dividing a total amount into a multi-part ratio and converting between standard units of measurement.
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Konular

Dividing in a Ratio

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