A and B invest in a business in the ratio 5:7. If B's investment is $14,000, wha

Practice Questions

Q1
A and B invest in a business in the ratio 5:7. If B's investment is $14,000, what is A's investment?
  1. $10,000
  2. $12,000
  3. $15,000
  4. $16,000

Questions & Step-by-Step Solutions

A and B invest in a business in the ratio 5:7. If B's investment is $14,000, what is A's investment?
Correct Answer: $10,000
  • Step 1: Understand the ratio of A's investment to B's investment, which is 5:7.
  • Step 2: Identify B's investment amount, which is $14,000.
  • Step 3: Since B's investment represents 7 parts of the ratio, calculate the value of 1 part by dividing B's investment by 7: $14,000 / 7 = $2,000.
  • Step 4: Now, calculate A's investment, which is represented by 5 parts. Multiply the value of 1 part by 5: 5 * $2,000 = $10,000.
  • Step 5: Conclude that A's investment is $10,000.
  • Ratio and Proportion – Understanding how to use ratios to determine the relative amounts of investments based on given values.
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