A mixture is made by combining 3 parts of liquid A and 5 parts of liquid B. If t

Practice Questions

Q1
A mixture is made by combining 3 parts of liquid A and 5 parts of liquid B. If the total volume of the mixture is 80 liters, how much of liquid A is there?
  1. 30 liters
  2. 40 liters
  3. 50 liters
  4. 20 liters

Questions & Step-by-Step Solutions

A mixture is made by combining 3 parts of liquid A and 5 parts of liquid B. If the total volume of the mixture is 80 liters, how much of liquid A is there?
  • Step 1: Identify the parts of liquid A and liquid B. Liquid A has 3 parts and liquid B has 5 parts.
  • Step 2: Add the parts together to find the total number of parts. 3 parts (A) + 5 parts (B) = 8 parts total.
  • Step 3: Determine the fraction of the mixture that is liquid A. This is 3 parts out of the total 8 parts, which is 3/8.
  • Step 4: Find the total volume of the mixture, which is given as 80 liters.
  • Step 5: Calculate the volume of liquid A by multiplying the fraction of liquid A (3/8) by the total volume (80 liters).
  • Step 6: Perform the calculation: (3/8) * 80 = 30 liters.
  • Step 7: Conclude that there are 30 liters of liquid A in the mixture.
  • Ratio and Proportion – Understanding how to divide a total volume based on given ratios.
  • Basic Arithmetic – Performing addition and multiplication to find the volume of each liquid.
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