How Many Jars of Marmalade Can Mary Make with 10kg of Oranges?
From time to time, people find themselves with a bounty of oranges and want to know how they can best utilize them. Whether it's for preserving or selling, understanding the conversion rate from oranges to marmalade can help in making the most of one's ingredients. This guide will walk you through an example where Mary, with 10kg of oranges, wants to make jars of marmalade, each weighing 454 grams.
Understanding the Conversion Rate
A traditional recipe for marmalade requires 65g of oranges to produce 100g of marmalade. This means that 1g of oranges can produce 100/65 1 7/13 grams of marmalade. For a more simplified calculation, this can be rounded to 1.11 grams of marmalade per gram of orange.
Calculating the Total Marmalade
Mary has 10kg of oranges, which is 10000 grams. Using the conversion rate, 10000 grams of oranges will produce approximately 15384.61 grams of marmalade. This calculation is carried out by multiplying the amount of oranges by the marmalade yield per gram of orange. Thus, we compute:
10000 grams of oranges * (100/65) 15384.61 grams of marmalade.
Determining the Number of Jars
Each jar of marmalade weighs 454 grams. To determine how many jars Mary can make, we simply divide the total marmalade by the weight of one jar:
15384.61 grams / 454 grams per jar 33.89 jars.
Since partial jars are impractical in this context, we can conclude that Mary is able to make 33 full jars of marmalade. The remaining marmalade can be set aside for another use or sold.
Alternative Calculation Method
An alternative method to determine the amount of marmalade that can be made from oranges is to determine the amount of oranges needed for a single jar of marmalade.
The recipe requires 65g of oranges to produce 100g of marmalade, meaning a single jar of 454 grams of marmalade will require:
454 grams * (65/100) 295.1 grams of oranges.
Given that Mary has 10kg (10000 grams) of oranges, she can make approximately:
10000 grams / 295.1 grams per jar 33.89 jars.
Again, rounding down, Mary can make 33 full jars of marmalade.
Conclusion
In conclusion, Mary can make 33 jars of marmalade from 10kg of oranges, provided her supply of other ingredients is sufficient. The precise calculation shows that she can make 33 jars, with the possibility of producing a small amount of marmalade that can be used for another purpose.