An Orchard made 14,757 lb of taffy apples with approximately 1 lb of taffy mixture for each 67.1 pounds of apples. To the nearest tenth of a pound. how many pounds of apples and how many pounds of taffy were used
14,757 / 67.1 = pounds of apples
I'm sure you can solve this problem from here.
Thank you Ms. Sue
You're welcome, Sarah.
To find out how many pounds of apples and taffy mixture were used, we can set up a proportion using the given information.
1 lb of taffy mixture is used for approximately 67.1 pounds of apples. Let's represent the unknown quantities as follows:
x = pounds of apples used
y = pounds of taffy mixture used
The proportion can be set up as:
1 lb of taffy mixture / 67.1 lb of apples = y lb of taffy mixture / x lb of apples
Now we can solve this proportion for x:
1 / 67.1 = y / x
To find y, we can set up another equation using the information provided:
Total weight of taffy mixture = 14,757 lb
So:
y + x = 14,757
Now we can solve this system of equations to find the values of x and y.
First, let's solve the proportion equation for y:
1 / 67.1 = y / x
1x = 67.1y
x = 67.1y
Now we substitute this expression for x in the second equation:
67.1y + y = 14,757
68.1y = 14,757
y = 14,757 / 68.1
y ≈ 216.47 lb
Since we need to round to the nearest tenth, y ≈ 216.5 lb.
Now we substitute this value of y back into the first equation to find x:
x = 67.1y
x = 67.1 * 216.5
x ≈ 14,526.15 lb
Again rounding to the nearest tenth, x ≈ 14,526.2 lb.
Therefore, approximately 14,526.2 pounds of apples and 216.5 pounds of taffy mixture were used.