Question

what is the total amount of water in all of the jugs which have exactly one - half gallon of water?
a $1\frac{1}{4}$ gallons
b $2\frac{1}{2}$ gallons
c $1\frac{1}{2}$ gallons
d $\frac{7}{8}$ gallon

Explanation:

Step1: Identify one - half gallon in eighths

We know that \(\frac{1}{2}=\frac{4}{8}\) (since to convert \(\frac{1}{2}\) to eighths, we multiply the numerator and denominator by 4, \(\frac{1\times4}{2\times4}=\frac{4}{8}\)).

Step2: Count the number of jugs with \(\frac{4}{8}\) (or \(\frac{1}{2}\)) gallon

Looking at the number line, the \(x\) marks at \(\frac{4}{8}\) are 3 in number.

Step3: Calculate the total amount

The amount per jug is \(\frac{1}{2}\) gallon and the number of jugs is 3. So the total amount is \(3\times\frac{1}{2}=\frac{3}{2}=1\frac{1}{2}\) gallons.

Answer:

C. \(1\frac{1}{2}\) gallons