Garnet has a container with 4 1/2 cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour. How many dozens of muffins can Garnet make with the flour she has?

Respuesta :

Answer:

1.8 or 9/5

Step-by-step explanation:

4[tex]\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{2}[/tex]

Change into improper fractions

[tex]\frac{9}{2}[/tex]÷[tex]\frac{5}{2\\}[/tex]

Flip the second fraction and then multiply

[tex]\frac{9}{2}[/tex]×[tex]\frac{2}{5}[/tex]=[tex]\frac{18}{10}[/tex]

18/10 is 1.8 as a decimal and 9/5 simplified

Answer: 1-4/5 dozens of muffins.

Step-by-step explanation;

Step One. Turn the fractions into decimals to make it easier; 4-1/2 will be 4.5 and 2-1/2 will be 2.5.

Step Two. Apply the rule of three, using the variable x to represent the number of muffins Garnet can make; 2.5/1 = 4.5/x.

Step Three. Solve for x by cross multiplying; x = 1.8. So Garnet can make 1.8 dozens of muffins with 4.5 cups of flour.

Step Four. Convert the decimal into a fraction; 1.8 in a fraction form is 9/5, or 1-4/5.