Four siblings are to share in an inheritance. They are to receive money in the money in the amount of $88,000 in the ratio of 5:3:2:1. What is the amount of the greatest share ?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given :
Total amount = $88,000
Ratio = 5:3:2:1
Let the common factor of ratio be x
Then, ratio is 5x:3x:2x:x
Now, according to question
5x + 3x + 2x + x = $88,000
11x = $88,000
Dividing both sides by 11, we get
11x/11 = $88,000
x = $8,000
Here, the biggest share is 5x. So, amount of biggest share will be,
5 × $8,000 = $40,000
Hence, $40,000 is the amount of the greatest share.