A and B invest in a business in the ratio of 3:2. If A's investment is $9000, wh

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Question: A and B invest in a business in the ratio of 3:2. If A\'s investment is $9000, what is B\'s investment?

Options:

Correct Answer: $6000

Solution:

If A\'s investment is $9000 and the ratio is 3:2, then B\'s investment = (2/3) * 9000 = $6000.

A and B invest in a business in the ratio of 3:2. If A's investment is $9000, what is B's investment?

A and B invest in a business in the ratio of 3:2. If A's investment is $9000, what is B's investment?

Step 1: Understand the ratio of A's investment to B's investment, which is 3:2.
Step 2: Identify A's investment amount, which is $9000.
Step 3: Since the ratio is 3:2, we can say that for every 3 parts A invests, B invests 2 parts.
Step 4: Calculate the total parts in the ratio: 3 (for A) + 2 (for B) = 5 parts.
Step 5: Find the value of one part by dividing A's investment by the number of parts A has: $9000 / 3 = $3000 per part.
Step 6: Now, calculate B's investment by multiplying the value of one part by the number of parts B has: $3000 * 2 = $6000.
Step 7: Therefore, B's investment is $6000.

Ratios – Understanding how to use ratios to determine proportional investments.
Proportional Relationships – Calculating one quantity based on the known value of another in a given ratio.