Algebraic Woru
An algebraic word problem can be presented in either a real-life or
require you to set up and solve an equation or inequality to arrive at the
require you to translate words into an expression, equation, or inequate
1. Kyle has three times as much money in his savings account as
Hayden. Hayden has twice as much money in his savings account
as Jeremy. Combined Kyle, Hayden, and Jeremy have a total of
$612. How much money does Kyle have in his account?
(A) $68 Khles Hot money = 3
(B) $136
(C) $204
(D) $306
(E) $408

Question

contestada

Respuesta :

absor201 absor201 · Answer 1 · 2019-11-27T12:12:25+01:00

The right answer is Option D.

Step-by-step explanation:

Let,

Kyle's money = x

Hayden's money = y

Jeremy's money = z

According to statements;

Kyle has three times as much money in his savings account as Hayden.

x = 3y Eqn 1

Hayden has twice as much money in his savings account as Jeremy.

z = 2y Eqn 2

Combined Kyle, Hayden, and Jeremy have a total of $612.

x+y+z=612 Eqn 3

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

[tex]3y+y+2y=612\\6y=612[/tex]

Dividing both sides by 6

[tex]\frac{6y}{6}=\frac{612}{6}\\y=102[/tex]

Putting in Eqn 1;

[tex]x=3(102)\\x=306[/tex]

Kyle has $306 in his account.

The right answer is Option D.

Keywords: Linear equations, division

Learn more about linear equations at:

#LearnwithBrainly