Question

Draco and his friends bought Bertie Bott's Every Flavor Beans for $3 per packet and chocolate frogs for $1 per packet at Honeydukes. They spent a total of $54 to buy a total of 36 packets of Beans and frogs.
Part A: Write a system of equations that Draco can solve to find the number of packets of Bertie Bott's Every Flavor Beans and the number of packets of chocolate frogs that he and his friends bought at Honeydukes. Tell what the variables used in the equations represent. (5 points)

Part B: Solve the system of equations from Part A to find out how many packets of chocolate frogs and Bertie Bott's Every Flavor Beans Draco and his friends bought and write the answer in (x, y) form. Tell which method you used to get the answer, and explain why you selected that particular method to get the answer.

Answer 1

Answer:

Part A: x + y = 36, 3x + y = 54

Part B: (9, 27), I used subtraction to solve the system, because it eliminated the "y" value, so it would be easiest to solve.

Step-by-step explanation:

Amount of Bean Packets: x

Amount of Frogs: y

We are given that:

x + y = 36

3x + y = 54

This is the answer to answer A.

To solve, use subtraction. Subtract:

3x + y - (x + y) = 54 - 36

3x - x + y - y = 18

2x = 18

x = 9

Substituting x = 9 into x + y = 36, we find that y = 27

In (x, y) form, substitute x = 9 and y = 27 to get (9, 27)

I used subtraction to solve the system, because it eliminated the "y" value, so it would be easiest to solve.