A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar. At this rate, how many cups of sugar should be used if 5 cups of flour is included?

Respuesta :

5 = 2/3 + 2/3 + 1/3
5 = 1 2/3

The number of the cups of sugar required for 5 cups of flour will be 5/3 cups.

What is ratio and proportions?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

A recipe for sugar cookies requires 2 cups of flour for every 2/3 cup of sugar.

To Find: at this rate how many cups of sugar should we use if 5 cups of flour is included.

For recipe of Sugar cookie =

Sugar required for  cups of flour= [tex]\dfrac{2}{3}\ cup[/tex]

Sugar required for cup of flour= [tex]\dfrac{2}{3}\times \dfrac{1}{2}=\dfrac{1}{3}[/tex]

Now,

If 5 cups of flour is included

cups of sugar required

[tex]=5\times Number \ of \ sugar\ cups\ required\ for\ 1\ cup\ of\ flour\\[/tex]

[tex]=5\times \dfrac{1}{3}=\dfrac{5}{3}\ cups[/tex]              

Hence 5/3 cups  should be used if 5 cups of flour is included

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