Question

he Lo quarts. He has 2 pints how. How much more orange juice does he need to completely fill the container? bone Farmer Fred makes 4 quarts of orange juice on Monday. He makes 2 quarts more orange juice on Tuesday than on Monday. He makes 2 more quarts on Wednesday than on Tuesday. He carries on making 2 more quarts of orange juice every day than the day before. In how many days will he make a total of 80 pints of orange juice? عرررر ) 218 Chapter 15 Customary Length, Weight, and Capacity 10

Answer 1

Step 1: Problem

Farmer Fred makes 4 quarts of orange juice on Monday. He makes 2 quarts more orange juice on Tuesday than on Monday. He makes 2 more quarts on Wednesday than on Tuesday. He carries on making 2 more quarts of orange juice every day than the day before. In how many days will he make a total of 80 pints of orange juice?

Step 2: Concept

Apply number series theorem

Step 3: Method

Monday = 4

Tuesday = 6

Wenesday = 8

.

.

.

Therefore, the sequence of numbers = 4, 6, 8, 10...

Let n represent number of days to make 80 pints of orange juice

Given data

a = 4 first term

d = 2 common difference

n = ?

`\begin{gathered} T_n\text{ = a + (n - 1)d} \\ 80\text{ = }4\text{ + (n - 1) 2} \\ 80\text{ = }4\text{ + 2n - 2} \\ 80+\text{ 2 - 4 = 2n} \\ 78\text{ = 2n} \\ n\text{ = }(78)/(2) \\ n\text{ = 39 days} \end{gathered}`

Step 4: Final answer

It will take 39 days to make 80 pints of orange juice.