Question

alivin spent half as much money as lorie did on holiday presents this year chris spent 3 times more than alivin did the total spent between all three of them was 720 how much did each person spend

Answer 1

Answer:

Alvin spent 120, Lorie spent120,Loriespent240 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 = \frac{y}{2}

2

y

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

\begin{gathered}x+2x+3x=720\\6x=720\end{gathered}

x+2x+3x=720

6x=720

Dividing both sides by 6

\begin{gathered}\frac{6x}{6}=\frac{720}{6}\\x=120\end{gathered}

6

6x

=

6

720

x=120

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 spent120,Loriespent240 and Chris spent $360.

Step-by-step explanation:

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