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The product of half of a certain number and 5 is 40. Find the number.

May 16, 2026Mathematics

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Answer

\text{16}

4 steps

Here's the solution to the problem:

The product of half of a certain number and 5 is 40. Find the number.

Let the certain number be $x$ .
Write "half of a certain number" as an expression.
$\frac{1}{2}x$
Set up the equation based on the problem statement.
The product of $\frac{1}{2}x$ and 5 is 40.
$\frac{1}{2}x \times 5 = 40$ $\frac{5}{2}x = 40$
Isolate $x$ by multiplying both sides by the reciprocal of $\frac{5}{2}$ , which is $\frac{2}{5}$ .
$x = 40 \times \frac{2}{5}$
Perform the multiplication to find the value of $x$ .
$x = \frac{80}{5}$ $x = 16$
The number is $\text{16}$ .

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