Question

Quincy sold three times as many magazines as Olivia. Trenton sold two less than twice the number of magazines that Quincy sold. Altogether they sold 138 magazines. How many magazines did Olivia sell?

Answer 1

Olivia sold 14 magazines.

Step-by-step explanation:

Total magazines sold = 138

Let,

Magazines sold by Olivia = x

Magazines sold by Quincy = y

Magazines sold by Trenton = z

According to given statements;

x+y+z=138    Eqn 1

Quincy sold three times as many magazines as Olivia.

y = 3x    Eqn 2

Trenton sold two less than twice the number of magazines that Quincy sold.

z = 2y-2    Eqn 3

Putting value of y from Eqn 2;

$z=2(3x)-2\\z=6x-2\ \ \ \ Eqn\ 4$

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

$x+3x+(6x-2)=138\\4x+6x-2=138\\10x=138+2\\10x=140$

Dividing both sides by 10

$\frac{10x}{10}=\frac{140}{10}\\x=14$

Olivia sold 14 magazines.

Keywords: linear equations, division

Learn more about division at:

• brainly.com/question/6108628
• brainly.com/question/609140

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