parents donated fudge for the fund raiser for your classroom. 40 pounds of chocolate fudge sold for $2.15 per pound and vanilla fudge sold for $1.90 per pound. your class made $158.20.
how many pounds of fudge were sold?
78
78
To find out how many pounds of fudge were sold, we can set up a system of equations based on the given information.
Let's denote the number of pounds of chocolate fudge as 'x' and the number of pounds of vanilla fudge as 'y'.
From the given information, we know that 40 pounds of chocolate fudge were sold at $2.15 per pound. Therefore, the total amount of money earned from the chocolate fudge sales is 40 * $2.15 = $86.
Similarly, the total amount of money earned from the vanilla fudge sales can be calculated by multiplying the number of pounds of vanilla fudge (y) by the selling price per pound ($1.90).
We are also given that the class made $158.20 from the fudge sales in total. So, we can set up the following equation:
$86 + ($1.90 * y) = $158.20
Now, let's solve this equation to find the value of 'y'.
$86 + $1.90y = $158.20
Subtracting $86 from both sides: $1.90y = $72.20
Dividing both sides by $1.90: y = $72.20 / $1.90 ≈ 38 pounds
Therefore, the number of pounds of vanilla fudge sold is approximately 38 pounds.
To find the total number of pounds of fudge sold, we can add the number of pounds of chocolate fudge (40 pounds) to the number of pounds of vanilla fudge (38 pounds):
Total pounds of fudge sold = 40 pounds + 38 pounds = 78 pounds
So, 78 pounds of fudge were sold in total.
40 lbs of choc @ 2.15 = 86.00
so vanille fudge had to be 158.20-86.00 = 72.20
number of lbs of vanilla = 72.20/1.90 = 38 lbs