Math  /  Algebra

Question37 is 50%50 \% of what number?

Studdy Solution

STEP 1

What is this asking? We need to find a number such that 50% of it is equal to 37. Watch out! Don't mix up 50% with other percentages!
And remember, 50% means half!

STEP 2

1. Set up the equation
2. Solve for the unknown

STEP 3

Let's call the mystery number we're looking for xx.
We're told that 37 is 50% of xx.
Remember, "is" usually means "equals" in math, and "of" usually means "times".

STEP 4

So, we can write this as an equation: 37=50%x37 = 50\% \cdot x.
Now, we need to remember that 50% is the same as 50100\frac{50}{100}, which simplifies to 12\frac{1}{2} or 0.50.5.

STEP 5

So, our equation becomes 37=0.5x37 = 0.5 \cdot x.
See? Not so scary!

STEP 6

To **isolate** xx, we need to divide both sides of the equation by 0.50.5.
Why? Because 0.50.5 is multiplied by xx, and the *opposite* of multiplication is division.
Think of it like this, we're dividing by 0.50.5 to make the coefficient of xx equal to one!

STEP 7

370.5=0.5x0.5 \frac{37}{0.5} = \frac{0.5 \cdot x}{0.5}

STEP 8

Now, dividing by 0.50.5 is the same as multiplying by 22 (since 10.5=2\frac{1}{0.5} = 2).
So, we have: 372=x 37 \cdot 2 = x

STEP 9

74=x 74 = x

STEP 10

So, our mystery number xx is **74**!
That means 37 is 50% of 74.

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