mary bought 2 shirts and 3 jeans her total was 133. julia bought 3 shirts and 6 jeans her total was 213. how much is it for each jean and each shirt

Respuesta :

Answer:

Each shirt cost 53 and each jeans cost 9.

Step-by-step explanation:

Let,

Shirts= x

Jeans= y

Converting the given information into equations:

[tex]2x+3y=133\ \ \ Eqn 1 \\3x+6y=213\ \ \ Eqn 2\\[/tex]

Multiplying first equation 1 with 2;

[tex]2(2x+3y=133)\\4x+6y=266\ Eqn\ 3\\[/tex]

Now subtracting equation 2 from equation 3;

[tex](4x+6y) - (3x+6y)=266-213\\4x+6y-3x-6y=53\\x=53[/tex]

Putting value of x in equation 1;

[tex]2(53)+3y=133\\106+3y=133\\3y=133-106\\3y=27\\y=\frac{27}{3} \\y=9[/tex]

Therefore,

Each shirt cost 53 and each jeans cost 9.

Keywords: Subtraction, Multiplication.

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