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

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

Options:

Correct Answer: $12,000

Solution:

If B\'s investment is 7 parts = $14,000, then 1 part = $14,000/7 = $2,000. A\'s investment = 5 parts = 5 * $2,000 = $10,000.

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

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.