Using a proportion, determine how many pounds of apples a person needs for a pie for 10 when the recipe calls for three pounds of apples for an apple pie for eight people.
You will need x lbs, where the ratio of lbs/people remains the same. That is,
3/8 = x/10
30 = 8x
x = 15/4 = 3 3/4 lbs
Oh, and you'll also need a larger pie pan...
To determine the number of pounds of apples needed for a pie for 10 people, we can set up a proportion.
Let's first write the proportion using the given information:
3 pounds of apples / 8 people = x pounds of apples / 10 people
To solve the proportion, we can cross-multiply:
(3 pounds of apples) * (10 people) = (8 people) * (x pounds of apples)
30 pounds of apples = 8x
Now, to find the value of x, we need to isolate it. Divide both sides of the equation by 8:
(30 pounds of apples) / 8 = x
x ≈ 3.75 pounds of apples
Therefore, a person needs approximately 3.75 pounds of apples for a pie for 10 when the recipe calls for three pounds of apples for an apple pie for eight people.