at freds house, santa ate the same number of suger cookies and chocolate chip cookies. Twice the number of sugar cookies he ate decreased by one equals the number of chocolate chip cookies he ate. How many sugar cookies (x) and chocolate chip cookies (y) did santa eat at fred's house

Respuesta :

751.2÷25= need help showing the way to get to the answer

Answer:

Santa ate one sugar cookie and 1 chocolate chip cookies.

Step-by-step explanation:

We know that

Santa ate the same number of sugar cookies and chocolate chip cookies.

If [tex]x[/tex] represents sugar cookies, and [tex]y[/tex] represents chocolate chip cookies.

This part of the problem is expressed as

[tex]x=y[/tex]

Because Santa ate the same of each type.

Twice the number of sugar cookies he ate decreased by one equals the number of chocolate chip cookies.

Now, this part of the problem is expressed

[tex]2x-1=y[/tex]

Because twice of sugar cookies decreased by one is equals to chocolate chip cookies.

Replacing the first equation into the second one, we have

[tex]2x-1=x\\2x-x=1\\x=1[/tex]

Now, replacing this value in the first equation, we have

[tex]y=1[/tex]

Therefore, Santa ate one sugar cookie and 1 chocolate chip cookies.