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samuel has a collection of toy cars. his favorites are the 27 red ones,…
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Question

samuel has a collection of toy cars. his favorites are the 27 red ones, which make up 60% of his collection.

how many toy cars does samuel have?

toy cars

Explanation:

Identify the given values

We are given:

  • Number of red toy cars: \(27\)
  • Percentage of the collection that is red: \(60\%\)

Define the variable for the total

Let \(x\) represent the total number of toy cars in Samuel's collection.

Set up the percentage equation

Using the Percentage of Number concept:

$$ 60\% \text{ of } x = 27 $$
$$ 0.60 \cdot x = 27 $$

Solve for the total number of cars

Divide both sides by \(0.60\) to find \(x\):

$$ x = \frac{27}{0.60} $$
$$ x = 45 $$

Answer:

Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60% of his collection.

How many toy cars does Samuel have?

<blank>45</blank> toy cars