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;
Putting value of y from Eqn 2 and value of z from Eqn 3 in Eqn 1
Dividing both sides by 10
Olivia sold 14 magazines.
Keywords: linear equations, division
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