QuestionAlan, Betty, and Carol invested in a corporation in the ratio of $2: 3: 4$ respectively. If they divide the profit of $\$ 16,200$ proportionally to their investment, how much will each receive?
Alan will receive \ $3,600 . Betty will receive$ \ $5,400$ . Carol will receive \\square$.

Studdy Solution

STEP 1

1. Alan, Betty, and Carol invested in a corporation in the ratio of $2:3:4$ .
2. The total profit to be divided is $\$16,200$ .
3. The profit is divided proportionally to their investment.
4. We need to find out how much each person receives.

STEP 2

1. Determine the total parts of the investment ratio.
2. Calculate the value of one part of the ratio.
3. Calculate the amount each person receives based on their investment ratio.

STEP 3

Determine the total parts of the investment ratio.
The investment ratio is $2:3:4$ .
Total parts = $2 + 3 + 4 = 9$ .

STEP 4

Calculate the value of one part of the ratio.
The total profit is $\$16,200$ .
Value of one part = $\frac{16,200}{9}$ .
Calculate the division:
$\frac{16,200}{9} = 1,800$ .

STEP 5

Calculate the amount each person receives based on their investment ratio.
Alan's share = $2 \times 1,800 = 3,600$ .
Betty's share = $3 \times 1,800 = 5,400$ .
Carol's share = $4 \times 1,800 = 7,200$ .
The amount each person receives is: - Alan: $\$3,600$ - Betty: $\$5,400$ - Carol: $\$7,200$

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