Question

John jarred 18 liters of jam after 3 days. How many days does John need to spend making jam if he wants to jar 48 liters of jam in all? Assume the relationship is directly proportional.

a) 8 days
b) 6 days
c) 9 days
d) 12 days

Answer 1

If John jarred 18 liters of jam in 3 days, he makes 6 liters of jam per day. To find out how many days he needs to spend making 48 liters of jam, we can set up a proportion using the direct proportionality relationship. The answer is 8 days.

The correct option is a) 8 days

Step-by-step explanation:

If John jarred 18 liters of jam in 3 days, we can calculate his rate of jam making by dividing the number of liters by the number of days. 18 liters / 3 days = 6 liters per day.

To find out how many days John needs to spend making 48 liters of jam, we can set up a proportion using the direct proportionality relationship. The proportion would be:

(liters of jam / days) = (liters of jam / days)

Using the proportion, we can substitute the values:

6 liters per day = 48 liters / x days

By cross-multiplying, we get:

6x = 48

x = 8

Therefore, John needs to spend 8 days making 48 liters of jam in total.

The correct option is a) 8 days