Dorita has 4 3/5 cups of pudding to make miniature cup of desserts. If she uses 1/4 cup of pudding for each miniature cup of dessert ,how many whole miniature cups of dessert can dorita make ?

Dorita can make 18 whole miniature cups of dessert.

Step-by-step explanation:

Given:

Amount of pudding she had =

Now the given number is in mixed fraction so we will convert in Improper fraction.

To convert mixed fraction into Improper fraction we need multiply the whole number part by the fraction's denominator then add that to the numerator and then write the result on top of the denominator.

can be Rewritten as

Amount of pudding she had =

Amount of pudding required for each miniature cup =

We need to find the number of whole miniature cups of dessert can Dorita make.

Solution:

Now we can say that;

number of miniature cups can be calculated by dividing Amount of pudding she had by Amount of pudding required for each miniature cup.

framing in equation form we get;

number of miniature cups =

Hence Dorita can make 18 whole miniature cups of dessert.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)