Alvin spent $120, Lorie spent $240 and Chris spent $360.
Step-by-step explanation:
Let,
Amount spent by Alvin = x
Amount spent by Lorie = y
Amount spent by Chris = z
Total amount spent by three of them = $720
According to given statement;
x = [tex]\frac{y}{2}[/tex]
2x=y
y = 2x Eqn 1
z = 3x Eqn 2
x+y+z=720 Eqn 3
Putting value of y and z from Eqn 1 and 2 in Eqn 3
[tex]x+2x+3x=720\\6x=720[/tex]
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{720}{6}\\x=120[/tex]
Putting x=120 in Eqn 1
y = 2(120) = 240
Putting x=120 in Eqn 2
z = 3(120) = 360
Therefore,
Alvin spent $120, Lorie spent $240 and Chris spent $360.
The amount each person spend is as follows:
Lorie expenses = $240
Alvin expenses = 1 / 2 (240) = $120
Chris expenses = 3 / 2 (240) = $360
let
Money Lorie spent = x
Therefore,
Alvin expenses = 1 / 2 x
Chris expenses = 3 (1 / 2 x) = 3 / 2 x
total amount spent = $720
Therefore,
3 / 2 x + 1 /2 x + x = 720
2x + x = 720
3x = 720
divide both sides by 3
3x / 3 = 720 / 3
x = 240
Lorie expenses = $240
Alvin expenses = 1 / 2 (240) = $120
Chris expenses = 3 / 2 (240) = $360
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