SOLUTION: A man distributed Php 1,500,000 among his three children to start a business of their own. The eldest received PHp 100,000 less than the sum of the shares of the other two, while t

Question 932736: A man distributed Php 1,500,000 among his three children to start a business of their own. The eldest received PHp 100,000 less than the sum of the shares of the other two, while the second child received Php 200,000 more than the share of the youngest child. How much did each receive?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = amount to oldest child
y = amount to middle child
z = amount to youngest child
---
x + y + z = 1500000
x = y + z - 100000
y = z + 200000
---
put the system of linear equations into standard form
---
x + y + z = 1500000
x - y - z = -100000
y - z = 200000
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = amount to oldest child = 700,000
y = amount to middle child = 500,000
z = amount to youngest child = 300,000
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
RELATED QUESTIONS
Direction: Solve the following problems using inverse function. Show your solution. 1. (answered by ikleyn)

The cost of a ticket to an amusement park is Php 250.00 for children and Php 500.00 for... (answered by greenestamps)

A man made a will in which he left 4/9 of his money to his wife and 2/5 of the remainder... (answered by math_tutor2020,greenestamps,MathTherapy)

A man gave 1/2 of his money to his brother, 1/6 to his friend and the remainder an amount (answered by JulietG)

A man made a will the in which he left 4/9 of his money to his wife and 2/5 of the... (answered by greenestamps,josgarithmetic,MathTherapy)

Carlos works at a movie theater selling tickets. The theater has 300 seats and charges... (answered by Solver92311)

1. Cris Adolfo borrowed Php80,000 at 10.4 % simple interest for 130 days. On day 40, July (answered by CPhill)

A. The average expenses of the Alvarez Family is Php. 12,600 every half of a month with a (answered by ikleyn)

(1) a gardener has (2) Mrs. Burgos wants to buy atleast 30 kilos of pork and beef... (answered by ikleyn)