Question

savannah went into a bakery and bought 9 cookies and 3 brownies, costing a total of $18. serenity went into the same bakery and bought 5 cookies and 2 brownies, costing a total of $10.75. write a system of equations that could be used to determine the price of each cookie and the price of each brownie. define the variables that you use to write the system.

Explanation:

Step1: Define variables for items

Let $c$ = price of 1 cookie, $b$ = price of 1 brownie

Step2: Write equation for Savannah's purchase

$9c + 3b = 18$

Step3: Write equation for Serenity's purchase

$5c + 2b = 10.75$

Answer:

Let $c$ = the price of one cookie (in dollars)
Let $b$ = the price of one brownie (in dollars)
System of Equations:
$9c + 3b = 18$
$5c + 2b = 10.75$