Question

You are buying food for a party for a birthday party. You purchased 7 packs of hotdogs and 4 trays of cupcakes for $60. After you buy the supplies, more people RSVP, so you need to buy an additional 2 trays of cupcakes and 1 more pack of hotdogs that cost $15.

Determine a system of equations that models this scenario?
A) 7x + 4y = 60, 2x + y = 15
B) 7x + 4y = 60, x + 2y = 15
C) 7x + 2y = 60, 4x + y = 15
D) 7x + 4y = 60, x + y = 15.

Answer 1

The system of equations that models the scenario is 7x + 4y = 60, 2x + y = 15.

Step-by-step explanation:

A) 7x + 4y = 60, 2x + y = 15

First, we can set up two equations to represent the scenario:

Let x be the cost of each pack of hotdogs and y be the cost of each tray of cupcakes.

The first equation represents the total cost of the hotdogs and cupcakes purchased initially: 7x + 4y = 60.

The second equation represents the additional cost of 2 trays of cupcakes and 1 pack of hotdogs: 2x + y = 15.

Therefore, the correct answer is option A.