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.

answer
attempt 1 out of 2

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system of equations:

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Explanation:

Step1: Definir variables

Sea \( c \) el precio de un galleta (en dólares) y \( b \) el precio de un brownie (en dólares).

Step2: Escribir ecuación para Savannah

Savannah compró 9 galletas y 3 brownies por $18, así que: \( 9c + 3b = 18 \)

Step3: Escribir ecuación para Serenity

Serenity compró 5 galletas y 2 brownies por $10.75, así que: \( 5c + 2b = 10.75 \)

Answer:

Let \( c \) = price of one cookie (in dollars)
Let \( b \) = price of one brownie (in dollars)

System of Equations:
\( 9c + 3b = 18 \)
\( 5c + 2b = 10.75 \)