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;
[tex]z=2(3x)-2\\z=6x-2\ \ \ \ Eqn\ 4[/tex]
Putting value of y from Eqn 2 and value of z from Eqn 3 in Eqn 1
[tex]x+3x+(6x-2)=138\\4x+6x-2=138\\10x=138+2\\10x=140\\[/tex]
Dividing both sides by 10
[tex]\frac{10x}{10}=\frac{140}{10}\\x=14[/tex]
Olivia sold 14 magazines.
Keywords: linear equations, division
Learn more about division at:
#LearnwithBrainly
