Question

Nate jarred 30 liters of jam after 6 days. How many days does Nate need to spend making jam if he wants to jar 40 liters of jam in all? Solve using unit rates.

Answer 1

To solve this problem, we can set up a proportion using the given information and solve for the unknown variable, which is the number of days Nate needs to spend making jam to jar 40 liters. Therefore, Nate needs to spend 8 days making jam to jar 40 liters in all.

Step-by-step explanation:

To solve this problem, we can set up a proportion using the given information and solve for the unknown variable, which is the number of days Nate needs to spend making jam to jar 40 liters.

We know that Nate can jar 30 liters of jam in 6 days, so the rate at which he jars jam is 30 liters / 6 days = 5 liters per day. Keeping this rate constant, we can set up the proportion:

5 liters / 1 day = 40 liters / x days

Cross-multiplying, we get:

5x = 40

Dividing both sides by 5, we find:

x = 8

Therefore, Nate needs to spend 8 days making jam to jar 40 liters in all.