Question

if you combined all the lemon juice from the days they squeezed exactly 1 3/4 cups, how much lemon juice would you have in all? write your answer as a fraction, mixed number, or whole number. cups 1 1 1/4 1 1/2 1 3/4 2 amount of lemon juice

Explanation:

Step1: Calculate the total amount of lemon juice

There are 5 rows of lemon - juice amounts. Each row has 6 “X”s.
The amounts per row are \(1\), \(\frac{1}{4}\), \(\frac{1}{2}\), \(\frac{3}{4}\), and \(2\) cups.
We use the formula for the sum of a quantity: \(S = n\times(a + b)\div2\) (where \(n\) is the number of groups, \(a\) is the first term, \(b\) is the last term) for each row - equivalent amount and then multiply by 6 (since there are 6 “X”s per row - like amount).
Another way is to calculate the sum of one set of amounts (\(1+\frac{1}{4}+\frac{1}{2}+\frac{3}{4}+2\)) and then multiply by 6.
First, find \(1+\frac{1}{4}+\frac{1}{2}+\frac{3}{4}+2\).

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Step2: Multiply by the number of “X”s per set

Since there are 6 “X”s (per the number of columns, representing the number of times each row - equivalent amount is counted), we multiply the sum of one set (\(\frac{9}{2}\)) by 6.

$$6\times\frac{9}{2}=\frac{6\times9}{2}=3\times9 = 27$$

Answer:

\(27\)