Pregunta
Type the correct answer in each box. lessica has \( \$ 24 \) and plans to spend it all at the grocery store. She wants to purchase bags of carrots and bagels. Bags of carrots cost \( \$ 2 \) each, and bagels cost \( \$ 3 \) per bag. Let \( x \) represent the number of bags of carrots and y represent the number of bags of bagels. Complete the equation in standard form that models this scenario. ( ) \( x+(\square) \)
Ask by Conner Ortiz. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The equation in standard form is \( 2x + 3y = 24 \).
Solución
To model the scenario where Lessica has $24 and plans to spend it all at the grocery store, purchasing bags of carrots and bagels, we can set up an equation based on the given information.
Let:
- \( x \) represent the number of bags of carrots
- \( y \) represent the number of bags of bagels
The cost of each bag of carrots is $2, and the cost of each bag of bagels is $3.
The total cost of the carrots is \( 2x \) dollars, and the total cost of the bagels is \( 3y \) dollars.
Since Lessica has $24 to spend, the total cost of the carrots and bagels should equal $24. Therefore, the equation in standard form that models this scenario is:
\[ 2x + 3y = 24 \]
So, the correct equation in standard form is \( 2x + 3y = 24 \).
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The Deep Dive
The equation that models the scenario is \( 2x + 3y = 24 \). In standard form, this means that the cost of the bags of carrots (\( 2x \)) plus the cost of the bags of bagels (\( 3y \)) must equal her total amount of money, which is \( 24 \). So in the box, you would put \( 3y \) to complete the equation.

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