Question

question
brayden runs a farm stand that sells raspberries and grapes. yesterday brayden sold 44 pounds of raspberries and 43 pounds of grapes for a total revenue of $217. today he sold 45 pounds of raspberries and 18 pounds of grapes for a total revenue of $144. write a system of equations that could determine the price of each pound of raspberries and the price of each pound of grapes.
let x =
let y =
system of equations:

Explanation:

Step1: Define Variables

Let \( x \) be the price per pound of raspberries (in dollars), and let \( y \) be the price per pound of grapes (in dollars).

Step2: Formulate Equations for Yesterday

Yesterday, 44 pounds of raspberries and 43 pounds of grapes were sold, with a total revenue of $217. So the equation is \( 44x + 43y = 217 \).

Step3: Formulate Equations for Today

Today, 45 pounds of raspberries and 18 pounds of grapes were sold, with a total revenue of $144. So the equation is \( 45x + 18y = 144 \).

Answer:

Let \( x \) = price per pound of raspberries (in dollars)
Let \( y \) = price per pound of grapes (in dollars)

System of Equations:
\( 44x + 43y = 217 \)
\( 45x + 18y = 144 \)