KARUNA OPENED A CANDY SHOP AND SELLS CHOCOLATE AND PEANUT BUTTER FUDGE BY THE POUND. THE CHOCOLATE FUDGE COSTS $3.20 PER
POUND AND THE PEANUT BUTTER FUDGE COSTS $3.00 PER POUND. ON A
GIVEN DAY KARUNA'S CANDY SHOP SELLS 15.5 POUNDS OF FUDGE FOR A
GROSS PROFIT OF $48.50
A WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE C
REPRESENTS THE NUMBER OF POUNDS OF CHOCOLATE FUDGE SOLD,
AND P REPRESENTS THE NUMBER OF POUNDS OF PEANUT BUTTER
FUDGE SOLD
B. HOW MANY POUNDS OF PEANUT BUTTER FUDGE DID KARUNA'S CANDY
SHOP SELL?

A. System of equations:

B. 5.5 pounds of peanut butter fudge were sold.

Step-by-step explanation:

Given:

Cost of chocolate fudge = $3.20

Cost of peanut butter fudge = $3.00

Total pounds sold = 15.5

Total gross profit = $48.50

C is the number of pounds of chocolate fudge sold.

P is the number of pounds of peanut butter fudge sold.

To find:

System of equations and number of pounds of peanut butter fudge sold = ?

Solution:

As per given conditions:

1.

Gross profit from Chocolate fudge:

Gross profit from Peanut Butter fudge:

Total gross profit =

So, the system of equations is:

2. To find P.

Let us solve the equations.

Multiply 2nd equation with 3 and subtracting from 1st equation:

Putting in 2nd equation:

So, the answer is:

5.5 pounds of peanut butter fudge were sold.

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