Question

1. merna raised $23.25 by selling 35 baked items for the builders club. she sold cookies for 60 cents each and brownies for 75 cents each. how many of each did she sell?

Explanation:

Step1: Define variables for items

Let $x$ = number of cookies, $y$ = number of brownies.

Step2: Set up total items equation

Total items sold: $x + y = 35$

Step3: Set up total revenue equation

Convert dollars to cents: $\$23.25 = 2325$ cents.
Revenue equation: $60x + 75y = 2325$

Step4: Simplify revenue equation

Divide by 15: $4x + 5y = 155$

Step5: Solve for $x$ from Step2

$x = 35 - y$

Step6: Substitute into simplified equation

$4(35 - y) + 5y = 155$
$140 - 4y + 5y = 155$
$140 + y = 155$

Step7: Solve for $y$

$y = 155 - 140 = 15$

Step8: Solve for $x$

$x = 35 - 15 = 20$

Answer:

She sold 20 cookies and 15 brownies.