a bag with 2 3/4 quarts of peanuts can make 3 3/4 jars of peanut butter. How many quarts of peanuts would u need to make 6 jars

Respuesta :

Answer  

Find out the  how many quarts of peanuts would u need to make 6 jars .

To prove

As given

[tex]A\ bag\ with\ 2\frac{3}{4}\ quarts\ of\ peanuts\ can\ make\ jars\ 3\frac{3}{4} jars\ of\ peanut\ butter.[/tex]

i.e

[tex]A\ bag\ with\ \frac{11}{4}\ quarts\ of\ peanuts\ can\ make\ jars\ \frac{15}{4} jars\ of\ peanut\ butter.[/tex]

Thus

[tex]\frac{11}{4} quarts\ of\ peanuts= \frac{15}{4}\ jars\ of\ peanuts\ butter[/tex]

Now for the one jar of the peanuts butter.

[tex]1\ jars\ of\ peanuts\ butter = \frac{\frac{11}{4}}{\frac{15}{4}}\ quarts\ of\ peanut\ butter[/tex]

[tex]1\ jars\ of\ peanuts\ butter = \frac{11}{15}\ quarts\ of\ peanut\ butter[/tex]

Thus

[tex]Peanut\ used\ for\ 6\ jars\ of\ the\ peanuts\ butter = \frac{6\times 11}{15}[/tex]

 [tex]Peanut\ used\ for\ 6\ jars\ of\ the\ peanuts\ butter = \frac{22}{5}quarts[/tex]    

                                                                                  = 4.4 quarts .

Therefore  for making 6 jars of the peanut butter 4.4 quarts of peanuts butter is required .