Quincy sold three times as many magazines as Olivia. Trenton sold two less than twice the number of magazines that Quincy sold.

Question

3 years ago

14

Altogether they sold 138 magazines. How many magazines did Olivia sell?

1 answer:

Anastaziya [24] · Answer 1 · 2022-02-25T00:27:01+03:00

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

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