A sum of $2,000 is to be divided between two people in the ratio of 3 to 5. How much does each person receive?
A) $650 and $1,350
B) $950 and $1,050
C) $450 and $1,550
D) $750 and $1,250
E) $850 and $1,150

Question

Quizplus · Accepted Answer

To divide $2,000 in the ratio 3:5, first find the total number of parts in the ratio by adding the two parts together:

3 + 5 = 8

Then, divide the total amount by the number of parts to find the value of one part:

$2,000 ÷ 8 = $250

Finally, multiply each part by the value of one part:

3 parts: 3 × $250 = $750 
5 parts: 5 × $250 = $1,250

Therefore, the two people receive $750 and $1,250, respectively. The best choice is D.

A Sum of $2,000 Is to Be Divided Between Two