Write a system of equations to describe the situation below solve using substitution , and fill in the blanks. Maya and Ruth are both selling cookie dough for a fundraiser.Although Maya has already sold 6 tubs, Ruth hasn't sold any yet. If Maya starts selling 6 tubs per day and Ruth begins selling 9 tubs per day,they will eventually sell the same amount of cookie dough. How many tubs will each sell? How many days will that take? Maya and Ruth will each sell square tubs of cookie dough in square days.

## Step 1: Define Variables and Equations<br />### Let 'x' be the number of days and 'y' be the total tubs sold. Maya's sales can be represented as $y = 6x + 6$ (initial 6 tubs plus 6 tubs per day). Ruth's sales can be represented as $y = 9x$.<br /><br />## Step 2: Substitute and Solve for x<br />### Substitute the second equation ($y = 9x$) into the first equation: $9x = 6x + 6$. Simplify to find $3x = 6$, so $x = 2$ days.<br /><br />## Step 3: Substitute and Solve for y<br />### Substitute $x = 2$ back into either equation. Using $y = 9x$, we get $y = 9(2) = 18$ tubs.