marco has a jug with 37 1/2 ounces of juice. He wants to use small cups to pass out samples of the juice. Each cup can hold 2 1/2 ounces of juice. How many cups can marco fill with juice samples?

Respuesta :

Answer:

Marco can fill 15 cups with juice samples.

Step-by-step explanation:

To find out how many cups Marco can fill with juice samples, you can divide the total amount of juice by the amount each cup can hold.

[tex]Total Cups = \frac{Total \ Ounces \ of \ Juice}{Ounces \ per \ Cups}[/tex]

In this case:

[tex]Total Cups = \frac{37\frac{1}{2} }{2\frac{1}{2} }[/tex]

First, convert the mixed numbers to improper fractions:

[tex]Total Cups = \frac{\frac{75}{2} }{\frac{5}{2} }[/tex]

Now, invert the divisor (the second fraction) and multiply:

[tex]Total Cups = \frac{75}{2} * \frac{2}{5}[/tex]

Cancel out common factors:

[tex]Totals Cups = \frac{75 * 1}{1 * 5} = \frac{75}{5} = 15[/tex]