Given:
a.) You sell 4 tubs of sugar cookie dough and 7 tubs of chocolate chip cookie dough for a total of $156.
b.) Your best friend makes $236 selling 4 tubs of cookie sugar cookie dough and 12 tubs of chocolate cookie dough.
Let,
x = price of sugar cookie dough
y = price of chocolate chip cookie dough
From the given relationships, we generate the following equation.
(a) 4x + 7y = $156
(b) 4x + 12y = $236
Let's equate the two equations to find the price of each cookie.
We get,
4x + 7y = $156
4x = $156 - 7y
Substitute 4x = $156 - 7y in the equation 4x + 12y = $236.
4x + 12y = $236
($156 - 7y) + 12y = $236
$156 - 7y + 12y = $236
12y - 7y = $236 - $156
5y = $80
y = $80/5
y = $16
Therefore, the price of the chocolate chip cookie dough is $16 each.