A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The poll counted 5 million SUV’s. How many of the vehicles did they look at in total?

Respuesta :

Answer:

20 million

Step-by-step explanation:

5 million SUVs are 25% of the total number of vehicles.

0.25x = 5,000,000

x = 20,000,000

Answer: 20 million

The question is an illustration of proportions.

A total of 20 million vehicles were looked into

The proportions are given as:

[tex]SUV = 25\%[/tex]

[tex]Trucks= 10\%[/tex]

Let the total number of vehicles be v.

The number of SUVs is given as 5 million.

So, we have:

[tex]SUV = 25\% \times v[/tex]

Substitute 5 million for SUV

[tex]5\ million= 25\% \times v[/tex]

Express the percentage as decimal

[tex]5\ million= 0.25 \times v[/tex]

Divide both sides of the equation by 0.25

[tex]20\ million = v[/tex]

Rewrite the equation as

[tex]v =20\ million[/tex]

Hence, 20 million vehicles were looked into

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