To find out how many days John needs to spend making 48 liters of jam, we can first determine his jam-making rate using the information given.
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Calculate the unit rate of jam per day: John jarred 36 liters of jam in 6 days. We can find out how much jam he makes in one day by dividing the total liters by the number of days:
\[ \text{Jam per day} = \frac{36 \text{ liters}}{6 \text{ days}} = 6 \text{ liters per day} \]
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Determine how many days are needed to make 48 liters: Now we need to find out how many days it will take for John to jar 48 liters at the rate of 6 liters per day. We can do this by dividing the total desired liters by the unit rate:
\[ \text{Days needed} = \frac{48 \text{ liters}}{6 \text{ liters per day}} = 8 \text{ days} \]
So, John needs to spend 8 days making jam to jar 48 liters.
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