Trevor and marissa together have 26 t-shirts to sell. If marissa has 6 fewer tshirts that trevor, find hiw many tshirts trevor has. Identify the if-than moves in your solution

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Answer:

Number of t-shirts Trevor have are 16

If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

Step-by-step explanation:

Let, the number of t-shirts Trevor has = x and number of t-shirts Marissa has = y.

Since, they both have total of 26 t-shirts. We get,

[tex]x+y=26[/tex]

Moreover, Marissa has 6 t-shirts less than that of Trevor.

So, we have,

[tex]y=x-6[/tex]

On solving the system of equations, we get,

[tex]x+y=26[/tex] implies [tex]x+x-6=26[/tex] implies [tex]2x=26+6[/tex] i.e. 2x= 32 i.e. x= 16.

So, [tex]y=x-6[/tex] implies [tex]y=16-6[/tex] i.e y= 10.

Hence, the number of t-shirts Trevor and Marissa have are 16 and 10 respectively.

That is, If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.