A magazine ad states that 4 out of 7 doctors recommend Flash toothpaste. if 1400 doctors were surveyed, how many doctors recommended flash toothpaste?

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Answer:

The number of doctors recommended flash toothpaste 800.

Step-by-step explanation:

Given:

A magazine ad states that 4 out of 7 doctors recommend Flash toothpaste.

Now, to find the numbers of doctors recommended flash toothpaste if 1400 doctors were surveyed.

Let the number of doctors recommended be [tex]x[/tex].

And the total number of doctors surveyed were 1400.

So, as given 4 out of 7 doctors recommend flash toothpaste.

So, 4 equivalent to 7 = [tex]\frac{4}{7}[/tex].

And, [tex]x[/tex] equivalent to 1400 =[tex]\frac{x}{1400}[/tex].

Thus, we set the proportion and solve by cross multiplication method:

[tex]\frac{4}{7} =\frac{x}{1400}[/tex]

By cross multiplying we get:

[tex]5600=7x[/tex]

Dividing both sides by 7 we get:

[tex]800=x[/tex]

[tex]x=800.[/tex]

Therefore, the number of doctors recommended flash toothpaste 800.

Answer:

Total number of doctors who recommend Flash toothpaste = 800

Step-by-step explanation:

Give:

Total doctors surveyed = 1400

Out of 7, 4 doctors recommend Flash toothpaste.

To find the total number of doctors who recommend Flash toothpaste.

Solution:

As 4 out of 7 doctors recommend Flash toothpaste, so we will divide the total number of doctors into groups of 7.

Total number of groups formed will be = [tex]\frac{1400}{7}[/tex] = 200

We know that on average 4 doctors in each group recommend Flash toothpaste.

So, to find total number of doctors who recommend Flash toothpaste we will multiply.

Total number of doctors who recommend Flash toothpaste = [tex]4\times 200[/tex]= 800

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