The amount received by each of the three brothers from the $24,000 given them based on their sharing ratios is worked out using a system of equations as follows:
X' share = $8,000
Y's share = $4,000
Z's share = $12,000
<h3>What is an equation?</h3>
An equation is a mathematical statement that shows that two values are equal.
A system of equations uses numbers and variables.
Data and Calculations:
Amount to be shared = $24,000
Sharers = X ,Y and Z
Sharing ratios:
X takes twice as Y = 2y
Y takes 1/3 of Z, Y = y
Z receives 1/3 of Y = 3y
Ratio = 2y + y + 3y
2y + y + 3y = 24,000
6y = 24,000
y = 4,000
X' share = $8,000 (2 x 4,000)
Y's share = $4,000 (4,000)
Z's share = $12,000 (3 x 4,000)
Thus, from the $24,000, X received $8,000, which is twice as much as Y's $4,000, and Y's share is one-third of Z's $12,000.
Learn more about equations at brainly.com/question/2972832
#SPJ1
