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Difficulty: MediumBasic Ratios

A naval maintenance crew is preparing an industrial cleaning solution for ship deck equipment. The standard procedure requires mixing chemical solvent and distilled water in a ratio of 3:23:2. If the crew needs to prepare a total of 150150 gallons of the cleaning solution, how many gallons of chemical solvent are required?

  1. A
    6060
  2. 9090Answer
  3. C
    100100
  4. D
    225225

Answer

The required amount of chemical solvent is 9090 gallons.
The correct answer accurately determines that the mixture consists of 5 total parts (3 parts solvent + 2 parts water). Dividing the total 150 gallons by 5 yields 30 gallons per part. Multiplying this by the 3 parts needed for the chemical solvent results in 90 gallons.

Step-by-Step Solution

1
Determine the total number of parts in the ratio.
3 (solvent)+2 (water)=5 total parts3 \text{ (solvent)} + 2 \text{ (water)} = 5 \text{ total parts}
To find the fractional share of the whole, you must first establish how many total proportional parts make up the complete mixture.
2
Calculate the volume of a single part by dividing the total volume by the total number of parts.
150 gallons÷5 parts=30 gallons per part150 \text{ gallons} \div 5 \text{ parts} = 30 \text{ gallons per part}
This establishes the baseline unit value that can be scaled to find any individual component's volume.
3
Multiply the single part volume by the number of solvent parts required by the ratio.
30 gallons/part×3 parts=90 gallons30 \text{ gallons/part} \times 3 \text{ parts} = 90 \text{ gallons}
The ratio dictates there are 3 parts of solvent for every complete batch of the mixture.

Key Concept

Calculating a specific part from a total whole using a part-to-part ratio.
Estimated Time:1m 0s
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Topics

Basic Ratios

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