9. Kurt has a collection of 155 United States and Canadian stamps. He has 1.5 times as many United States stamps as Canadian stamps. How many United
States stamps does Kurt have in his collection?

Respuesta :

Kurt have 93 United States stamps in his collection.

Step-by-step explanation:

Given,

Number of stamps = 155

Let,

Stamps of United State = x

Stamps of Canada = y

According to given statement;

x+y=155    Eqn 1

x = 1.5y      Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex]1.5y+y=155\\2.5y=155[/tex]

Dividing both sides by 2.5

[tex]\frac{2.5y}{2.5}=\frac{155}{2.5}\\y=62[/tex]

Putting y=62 in Eqn 2

[tex]x=1.5(62)\\x=93[/tex]

Kurt have 93 United States stamps in his collection.

Keywords: linear equation, substitution method

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