A and B invest in a business in the ratio 3:4. If B's investment is $2800, what

A and B invest in a business in the ratio 3:4. If B's investment is $2800, what is A's investment?

A and B invest in a business in the ratio 3:4. If B's investment is $2800, what is A's investment?

Correct Answer: $2100

Step 1: Understand the ratio of A's investment to B's investment, which is 3:4.
Step 2: Let A's investment be represented as 3x and B's investment as 4x.
Step 3: We know B's investment is $2800, so we can set up the equation: 4x = 2800.
Step 4: To find the value of x, divide both sides of the equation by 4: x = 2800 / 4.
Step 5: Calculate the value of x: x = 700.
Step 6: Now, find A's investment by substituting x back into the equation for A: A's investment = 3x = 3 * 700.
Step 7: Calculate A's investment: A's investment = 2100.

Ratios – Understanding and applying ratios to determine proportional investments.
Algebraic Manipulation – Using algebra to solve for unknowns based on given relationships.