ms. jeffers is splitting $775 among her three sons. of the oldest gets twice as much as the youngest and the middle son gets $35

Question

3 years ago

12

more than the youngest, how kuch does each boy get ?

1 answer:

Angelina_Jolie [31] · Answer 1 · 2021-11-29T11:03:27+03:00

The oldest son will get $370, the middle will get $220 and the youngest will get $185.

Step-by-step explanation:

Given,

Total amount to be split = $775

Let,

Oldest son's share = x

Middle son's share = y

Youngest son's share = z

According to given statement;

x+y+z=775 Eqn 1

the oldest gets twice as much as the youngest

x = 2z Eqn 2

the middle son gets $35 more than the youngest

y = z+35 Eqn 3

Putting value of x and y from Eqn 2 and 3 in Eqn 1

$2z+(z+35)+z=775\\2z+z+35+z=775\\4z=775-35\\4z=740\\$

Dividing both sides by 4

$\frac{4z}{4}=\frac{740}{4}\\z=185$

Putting z=185 in Eqn 2

$x=2(185)\\x=370$

Putting z=185 in Eqn 3

$y=185+35\\y=220$

The oldest son will get $370, the middle will get $220 and the youngest will get $185.

Keywords: linear equation, substitution method

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