Jasper jarred 36 liters of jam after 9 days. How much jam did Jasper jar if he spent 10 days making jam?
Understand the Problem
The question is asking us to find the amount of jam Jasper jarred in 10 days, given that he jarred 36 liters in 9 days. We can solve this by first finding the amount of jam he jarred per day, and then multiplying that by 10 days.
Answer
40 liters
Answer for screen readers
40 liters
Steps to Solve
- Find the amount of jam jarred per day
To find the amount of jam jarred per day, divide the total amount of jam jarred (36 liters) by the number of days (9 days):
$$ \frac{36 \text{ liters}}{9 \text{ days}} = 4 \text{ liters/day} $$
- Calculate the amount of jam jarred in 10 days
Multiply the amount of jam jarred per day (4 liters/day) by the new number of days (10 days) to find the total amount of jam jarred in 10 days:
$$ 4 \text{ liters/day} \times 10 \text{ days} = 40 \text{ liters} $$
40 liters
More Information
If Jasper continued to jar jam at the same rate for 30 days, he would jar 120 liters of jam!
Tips
A common mistake would be to set up a proportion incorrectly. For example, someone might incorrectly set up the proportion as $\frac{9}{36} = \frac{10}{x}$ instead of understanding that you first need to find the rate per day before multiplying by the new number of days.
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