Examkin

Question

Difficulty: EasyDividing in a Ratio

A motor pool technician is mixing a cleaning solvent and water in a ratio of 2:52:5 to fill a 3535-gallon container. How many gallons of cleaning solvent are needed?

  1. A
    7
  2. 10Answer
  3. C
    14
  4. D
    25

Answer

10 gallons
The total number of ratio parts is 2+5=72 + 5 = 7. The total volume is 3535 gallons, so each part represents 35÷7=535 \div 7 = 5 gallons. Since the cleaning solvent corresponds to 22 parts, the amount of solvent needed is 2×5=102 \times 5 = 10 gallons.

Step-by-Step Solution

1
Find the total number of parts in the ratio.
2+5=72 + 5 = 7 total parts
The ratio 2:52:5 means the total mixture is made up of 77 equal parts.
2
Calculate the volume of a single part.
35÷7=535 \div 7 = 5 gallons per part
Dividing the total volume by the total number of parts gives the amount for one individual part.
3
Calculate the volume of the cleaning solvent.
2×5=102 \times 5 = 10 gallons
The cleaning solvent represents 22 parts of the total mixture.

Key Concept

Dividing a total quantity into proportional parts based on a given part-to-part ratio.
Rate this question

Topics

Dividing in a Ratio

More questions from this topic