Adrienne operates the milkshake machine at Burgers and Shakes. on Monday she added whipped cream to 210 shakes.This was 70% of the total milkshakes sold. how many milkshakes were sold at Burgers and Shakes on Monday? How many shakes did not have whipped cream?​

Respuesta :

Answer:

Total number of milkshakes sold on Monday = 300

Number of milkshakes without whipped cream = 90

Step-by-step explanation:

Given:

Adrienne adds whipped cream to 210 milk shakes which is 70% of the total milk shakes sold.

To find the total milkshakes sold.

Solution:

Let the total number of milkshakes sold on Monday be = [tex]x[/tex]

Percentage of milkshakes with whipped cream added to them = 70%

Number of milk shakes with added whipped cream can be given as:

⇒ [tex]70\% \textrm{ of the total number of milkshakes}[/tex]

⇒ [tex]70\% x[/tex]

⇒ [tex]\frac{70}{100}x[/tex]  [Representing percent in fraction form]

⇒ [tex]0.7x[/tex]  [evaluating in decimals]

We know that the number of milkshakes with whipped cream added to them = 210.

So, we have:

[tex]0.7x=210[/tex]

Solving for [tex]x[/tex]

Dividing both sides by  0.7

[tex]\frac{0.7x}{0.7}=\frac{210}{0.7}[/tex]

∴ [tex]x=300[/tex]

Thus, total number of milkshakes sold on Monday = 300

Number of milkshakes without whipped cream = [tex]300-210[/tex]= 90

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